second order ode can be made integrable

2.5.17 second order ode can be made integrable

Table 2.1229: second order ode can be made integrable [355]


#	ODE	CAS classiﬁcation	Solved	Maple	Mma	Sympy	time(sec)

149	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.804

216	\begin{align} y^{\prime \prime }-9 y&=0 \\ y \left (0\right ) &= -1 \\ y^{\prime }\left (0\right ) &= 15 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.798

217	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 8 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.468

218	\begin{align} y^{\prime \prime }+25 y&=0 \\ y \left (0\right ) &= 10 \\ y^{\prime }\left (0\right ) &= -10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.674

258	\begin{align} y^{\prime \prime }-4 y&=12 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.985

271	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.705

808	\begin{align} y^{\prime \prime }-9 y&=0 \\ y \left (0\right ) &= -1 \\ y^{\prime }\left (0\right ) &= 15 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.033

809	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 8 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.729

810	\begin{align} y^{\prime \prime }+25 y&=0 \\ y \left (0\right ) &= 10 \\ y^{\prime }\left (0\right ) &= -10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.705

839	\begin{align} y^{\prime \prime }-4 y&=12 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.998

842	\begin{align} y^{\prime \prime }+2 y&=4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.540

845	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.789

1254	\begin{align} 4 y^{\prime \prime }-9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.838

1264	\begin{align} 4 y^{\prime \prime }-y&=0 \\ y \left (-2\right ) &= 1 \\ y^{\prime }\left (-2\right ) &= -1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.731

1265	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= {\frac {5}{4}} \\ y^{\prime }\left (0\right ) &= -{\frac {3}{4}} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.575

1268	\begin{align} 4 y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= \beta \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✗	1.057

1278	\begin{align} 4 y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.283

1286	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (\frac {\pi }{3}\right ) &= 2 \\ y^{\prime }\left (\frac {\pi }{3}\right ) &= -4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.445

1355	\begin{align} u^{\prime \prime }+2 u&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.840

2363	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.802

2544	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.268

2563	\begin{align} y^{\prime \prime }+w^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.839

2819	\begin{align} z^{\prime \prime }+z^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	12.592

2820	\begin{align} z^{\prime \prime }+z+z^{5}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	51.756

2822	\begin{align} z^{\prime \prime }+\frac {z}{1+z^{2}}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	7.306

2823	\begin{align} z^{\prime \prime }+z-2 z^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], _Duﬃng, [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	4.060

2834	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (L \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.538

2837	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y^{\prime }\left (0\right ) &= 0 \\ y \left (L \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.101

2839	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.158

3058	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.749

3244	\begin{align} y^{\prime \prime }&=k^{2} y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.974

3245	\begin{align} x^{\prime \prime }+k^{2} x&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.474

3265	\begin{align} y^{\prime \prime }&=y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.578

3557	\begin{align} y^{\prime \prime }-25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.396

3558	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.677

3563	\begin{align} y^{\prime \prime }-9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.059

3697	\begin{align} y^{\prime \prime }-36 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.691

4124	\begin{align} y^{\prime \prime }+25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.297

5715	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.543

5716	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.336

5730	\begin{align} y^{\prime \prime }-2 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.677

5732	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.971

6298	\begin{align} y^{\prime \prime }&=a y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	12.789

6299	\begin{align} y^{\prime \prime }&=6 y^{2} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	23.791

6302	\begin{align} y^{\prime \prime }&=2 y^{3} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	34.771

6303	\begin{align} y^{\prime \prime }&=a +b y+2 y^{3} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	205.765

6308	\begin{align} y^{\prime \prime }&=\operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2}+\operatorname {a3} y^{3} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	192.496

6311	\begin{align} a \,{\mathrm e}^{y}+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	58.371

6369	\begin{align} 2 y^{\prime \prime }&=1+12 y^{2} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	62.012

6370	\begin{align} 2 y^{\prime \prime }&=y \left (a -y^{2}\right ) \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	60.175

7042	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.378

7126	\begin{align} y^{\prime \prime }&=\frac {3 k y^{2}}{2} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	4.654

7127	\begin{align} y^{\prime \prime }&=2 k y^{3} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	5.840

7264	\begin{align} y^{\prime \prime }+16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.675

7367	\begin{align} y^{\prime \prime }&=-4 y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.546

7369	\begin{align} y^{\prime \prime }&=y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.565

7570	\begin{align} m y^{\prime \prime }+k y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.484

7573	\begin{align} 2 y^{\prime \prime }+18 y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 3 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.109

7606	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 2 \\ y \left (\frac {\pi }{2}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.530

7619	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.693

7665	\begin{align} x^{\prime \prime }-\omega ^{2} x&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.060

7780	\begin{align} \frac {x^{\prime \prime }}{2}&=-48 x \\ x \left (0\right ) &= {\frac {1}{6}} \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.442

7851	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.593

7982	\begin{align} y^{\prime \prime }+25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.309

8214	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (0\right ) &= -1 \\ x^{\prime }\left (0\right ) &= 8 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.050

8216	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (\frac {\pi }{6}\right ) &= {\frac {1}{2}} \\ x^{\prime }\left (\frac {\pi }{6}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.844

8217	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (\frac {\pi }{4}\right ) &= \sqrt {2} \\ x^{\prime }\left (\frac {\pi }{4}\right ) &= 2 \sqrt {2} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.694

8218	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.103

8221	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.171

8247	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.174

8249	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (\pi \right ) &= 5 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.619

8261	\begin{align} y^{\prime \prime }+9 y&=18 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.555

8283	\begin{align} y^{\prime \prime }+9 y&=5 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.647

8860	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.529

8861	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.786

8862	\begin{align} y^{\prime \prime }+k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.869

8887	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.090

8888	\begin{align} 3 y^{\prime \prime }+2 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.433

8889	\begin{align} y^{\prime \prime }+16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.924

8896	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 1 \\ y \left (\frac {\pi }{2}\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.343

8897	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.385

8898	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\frac {\pi }{2}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.472

8899	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{2}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.465

8903	\begin{align} y^{\prime \prime }+10 y&=0 \\ y \left (0\right ) &= \pi \\ y^{\prime }\left (0\right ) &= \pi ^{2} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.685

8925	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.586

8926	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.437

9037	\begin{align} y^{\prime \prime }+k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.222

9052	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.853

9053	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.251

9182	\begin{align} y^{\prime \prime }-k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.518

9214	\begin{align} y^{\prime \prime }+8 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.782

9220	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.687

9224	\begin{align} y^{\prime \prime }&=4 y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.786

9322	\begin{align} y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.098

9345	\begin{align} y^{\prime \prime }&=-3 y \\ y \left (0\right ) &= -1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.424

9494	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.883

9496	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.717

9582	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.099

9774	\begin{align} y^{\prime \prime }+\beta ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.782

10257	\begin{align} y^{\prime \prime }+{\mathrm e}^{y}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	8.628

10397	\begin{align} y^{\prime \prime }+y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.011

12282	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.182

12286	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.971

12289	\begin{align} y^{\prime \prime }+l y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.956

12835	\begin{align} y^{\prime \prime }-y^{2}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	2.268

12836	\begin{align} y^{\prime \prime }-6 y^{2}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	1.937

12838	\begin{align} y^{\prime \prime }-6 y^{2}+4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	1.826

12841	\begin{align} y^{\prime \prime }-a y^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	2.018

12844	\begin{align} y^{\prime \prime }+d +b y^{2}+c y+a y^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	191.736

12846	\begin{align} y^{\prime \prime }+6 a^{10} y^{11}-y&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	1.852

12848	\begin{align} y^{\prime \prime }-{\mathrm e}^{y}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	5.335

13662	\begin{align} y^{\prime \prime }+a y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.535

14163	\begin{align} 2 y^{\prime \prime }&={\mathrm e}^{y} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	18.336

14289	\begin{align} x^{\prime \prime }+9 x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.380

14290	\begin{align} x^{\prime \prime }-12 x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.926

14584	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.645

14585	\begin{align} 4 y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.516

14845	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{2}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.805

14846	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.378

14847	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (L \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.246

14929	\begin{align} y^{\prime \prime }-4 y&=0 \\ y \left (0\right ) &= 10 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.740

15316	\begin{align} y^{\prime \prime }+\alpha ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.328

15317	\begin{align} y^{\prime \prime }-\alpha ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.472

15401	\begin{align} y^{\prime \prime }&=a^{2} y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	8.170

15410	\begin{align} y^{\prime \prime }&=9 y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.986

15411	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.523

15412	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.173

15477	\begin{align} x^{\prime \prime }+x-x^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], _Duﬃng, [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	13.512

15478	\begin{align} x^{\prime \prime }+x+x^{3}&=0 \\ \end{align}	[[_2nd_order, _missing_x], _Duﬃng, [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	9.056

15481	\begin{align} x^{\prime \prime }&=\left (2 \cos \left (x\right )-1\right ) \sin \left (x\right ) \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	7.370

15510	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.281

15659	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.827

15660	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.291

15666	\begin{align} y^{\prime \prime }-4 y&=31 \\ y \left (0\right ) &= -9 \\ y^{\prime }\left (0\right ) &= 6 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.874

15679	\begin{align} y^{\prime \prime }+\alpha y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.658

16069	\begin{align} y^{\prime \prime }+2 y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= -\sqrt {2} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.030

16469	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 6 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.983

16482	\begin{align} y^{\prime \prime }-4 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.559

16490	\begin{align} y^{\prime \prime }-25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.978

16492	\begin{align} 4 y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.813

16497	\begin{align} y^{\prime \prime }-9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.373

16499	\begin{align} y^{\prime \prime }-9 y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= -3 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.558

16512	\begin{align} y^{\prime \prime }+25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.342

16517	\begin{align} 4 y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.268

16518	\begin{align} y^{\prime \prime }+16 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.017

16520	\begin{align} y^{\prime \prime }+16 y&=0 \\ y \left (0\right ) &= 4 \\ y^{\prime }\left (0\right ) &= 12 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.688

16588	\begin{align} y^{\prime \prime }-9 y&=36 \\ y \left (0\right ) &= 8 \\ y^{\prime }\left (0\right ) &= 6 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.229

16708	\begin{align} y^{\prime \prime }+36 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.454

16711	\begin{align} y^{\prime \prime }-36 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.996

16717	\begin{align} y^{\prime \prime }+3 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.737

17350	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.455

17353	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.940

17355	\begin{align} y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -3 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.446

17360	\begin{align} y^{\prime \prime }+16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.289

17386	\begin{align} 4 y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.956

17387	\begin{align} y^{\prime \prime }+16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.946

17388	\begin{align} y^{\prime \prime }+8 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.441

17389	\begin{align} y^{\prime \prime }+7 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.531

17400	\begin{align} y^{\prime \prime }+36 y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= -6 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.654

17401	\begin{align} y^{\prime \prime }+100 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.737

17419	\begin{align} y^{\prime \prime }-16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.823

17458	\begin{align} y^{\prime \prime }-y&=4 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.743

17481	\begin{align} y^{\prime \prime }+4 y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.638

17765	\begin{align} y^{\prime \prime }+25 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.679

17796	\begin{align} 4 x^{\prime \prime }+9 x&=0 \\ x \left (0\right ) &= -1 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.904

17797	\begin{align} 9 x^{\prime \prime }+4 x&=0 \\ x \left (0\right ) &= -{\frac {1}{2}} \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.714

17798	\begin{align} x^{\prime \prime }+64 x&=0 \\ x \left (0\right ) &= {\frac {3}{4}} \\ x^{\prime }\left (0\right ) &= -2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.495

17799	\begin{align} x^{\prime \prime }+100 x&=0 \\ x \left (0\right ) &= -{\frac {1}{4}} \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.480

17800	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (0\right ) &= 3 \\ x^{\prime }\left (0\right ) &= -4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.395

17801	\begin{align} x^{\prime \prime }+4 x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.549

17802	\begin{align} x^{\prime \prime }+16 x&=0 \\ x \left (0\right ) &= -2 \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.230

17803	\begin{align} x^{\prime \prime }+256 x&=0 \\ x \left (0\right ) &= 2 \\ x^{\prime }\left (0\right ) &= 4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.875

17804	\begin{align} x^{\prime \prime }+9 x&=0 \\ x \left (0\right ) &= {\frac {1}{3}} \\ x^{\prime }\left (0\right ) &= -1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.331

17805	\begin{align} 10 x^{\prime \prime }+\frac {x}{10}&=0 \\ x \left (0\right ) &= -5 \\ x^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.419

18084	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.487

18125	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.020

18162	\begin{align} y^{\prime \prime }+k^{2} y&=k \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.959

18185	\begin{align} y^{\prime \prime }+9 y&=9 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.359

18282	\begin{align} y^{\prime \prime }-y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.342

18354	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.970

18355	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y \left (2 \pi \right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.484

18358	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{2}\right ) &= \alpha \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.017

18359	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (1\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.397

18365	\begin{align} y^{\prime \prime }+\lambda ^{2} y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.977

18725	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.047

18726	\begin{align} y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.438

18740	\begin{align} y^{\prime \prime }+4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.444

18769	\begin{align} 4 y^{\prime \prime }-9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.046

18778	\begin{align} 4 y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.445

18791	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (\frac {\pi }{3}\right ) &= 2 \\ y^{\prime }\left (\frac {\pi }{3}\right ) &= -4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.415

18798	\begin{align} 4 y^{\prime \prime }-y&=0 \\ y \left (-2\right ) &= 1 \\ y^{\prime }\left (-2\right ) &= -1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.812

18814	\begin{align} m y^{\prime \prime }+k y&=0 \\ y \left (0\right ) &= a \\ y^{\prime }\left (0\right ) &= b \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	9.726

19176	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.062

19231	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.283

19232	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.627

19360	\begin{align} y^{\prime \prime }-k y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.180

19433	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.987

19461	\begin{align} y^{\prime \prime }+8 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.843

19471	\begin{align} y^{\prime \prime }&=4 y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.093


19736	\begin{align} \theta ^{\prime \prime }&=-p^{2} \theta \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.638

19739	\begin{align} \phi ^{\prime \prime }&=\frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	108.207

19750	\begin{align} \theta ^{\prime \prime }-p^{2} \theta &=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.942

19751	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.685

19753	\begin{align} r^{\prime \prime }-a^{2} r&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.869

19769	\begin{align} y^{\prime \prime }&=-m^{2} y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.606

19852	\begin{align} e y^{\prime \prime }&=P \left (a -y\right ) \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.223

19869	\begin{align} y^{\prime \prime }&=-a^{2} y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.823

19895	\begin{align} y^{\prime \prime }-k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.145

20037	\begin{align} y^{\prime \prime }-m^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.945

20126	\begin{align} y^{\prime \prime }+a^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.661

20328	\begin{align} y^{\prime \prime }-n^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.496

20543	\begin{align} y^{\prime \prime }&=y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.756

20545	\begin{align} -a^{2} y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.553

20547	\begin{align} y^{\prime \prime }&=y^{3}-y \\ \end{align}	[[_2nd_order, _missing_x], _Duﬃng, [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	4.016

20548	\begin{align} y^{\prime \prime }&={\mathrm e}^{2 y} \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	6.688

20589	\begin{align} y^{\prime \prime }&={\mathrm e}^{y} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	10.258

20590	\begin{align} y^{\prime \prime }+a^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.928

20845	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.870

21105	\begin{align} x^{\prime \prime }+4 x&=0 \\ x \left (0\right ) &= 1 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.676

21123	\begin{align} x^{\prime \prime }+\lambda ^{2} x&=0 \\ x \left (0\right ) &= 0 \\ x \left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.669

21124	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (a \right ) &= 0 \\ x \left (b \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.644

21125	\begin{align} x^{\prime \prime }-x&=0 \\ x \left (0\right ) &= 0 \\ x \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.132

21254	\begin{align} x^{\prime \prime }&=x-x^{3} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	5.801

21260	\begin{align} x^{\prime \prime }&=x-x^{3} \\ x \left (0\right ) &= \frac {\sqrt {2}}{2} \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✗	✗	29.751

21318	\begin{align} x^{\prime \prime }-x^{3}&=0 \\ x \left (0\right ) &= 0 \\ x \left (b \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	2.297

21319	\begin{align} x^{\prime \prime }+4 x^{3}&=0 \\ x \left (a \right ) &= 0 \\ x \left (b \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	2.330

21320	\begin{align} x^{\prime \prime }+6 x^{5}&=0 \\ x \left (0\right ) &= 0 \\ x \left (b \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✗	✗	3.664

21321	\begin{align} x^{\prime \prime }+\lambda x-x^{3}&=0 \\ x \left (0\right ) &= 0 \\ x \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✗	✗	6.309

21323	\begin{align} x^{\prime \prime }+4 x^{3}&=0 \\ x \left (0\right ) &= 0 \\ x \left (b \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	2.598

21477	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.709

21481	\begin{align} y^{\prime \prime }-5 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.659

21488	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.286

21489	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.369

21563	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.589

21566	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.842

21568	\begin{align} y^{\prime \prime }+k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.056

21620	\begin{align} y^{\prime \prime }+\omega ^{2} y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= v \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.464

21624	\begin{align} y^{\prime \prime }+4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.050

21728	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{4}\right ) &= 7 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.080

21729	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 4 \\ y \left (\pi \right ) &= 4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✗	2.234

21730	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y \left (L \right ) &= 7 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.853

21787	\begin{align} x^{\prime \prime }&=4 x^{3}-4 x \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	6.332

21789	\begin{align} x^{\prime \prime }&=x^{2}-4 x+\lambda \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✗	95.723

21792	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.073

21968	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (\frac {\pi }{8}\right ) &= 0 \\ y \left (\frac {\pi }{6}\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.651

21970	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.119

22079	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.398

22095	\begin{align} y^{\prime \prime }-5 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.064

22097	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.270

22101	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.529

22104	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.951

22106	\begin{align} y^{\prime \prime }-7 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.901

22168	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (2\right ) &= 0 \\ y^{\prime }\left (2\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.084

22282	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{2}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.204

22284	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\frac {\pi }{2}\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.210

22286	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (\frac {\pi }{2}\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.932

22299	\begin{align} s^{\prime \prime }&=-9 s \\ s \left (0\right ) &= 9 \\ s^{\prime }\left (0\right ) &= 18 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.626

22317	\begin{align} y^{\prime \prime }+y^{2}&=0 \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	13.965

22334	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.337

22485	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.884

22487	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.737

22629	\begin{align} 4 y^{\prime \prime }-25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	9.612

22630	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.311

22634	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= -3 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	5.796

22654	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.997

22656	\begin{align} 4 y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.308

22660	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= 4 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.624

22739	\begin{align} y^{\prime \prime }-y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	8.468

22803	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.897

23001	\begin{align} y^{\prime \prime }-4 y&=0 \\ y \left (0\right ) &= 4 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.816

23013	\begin{align} y^{\prime \prime }-3 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.616

23014	\begin{align} y^{\prime \prime }-8 y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.709

23015	\begin{align} 4 y^{\prime \prime }-7 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.324

23018	\begin{align} x^{\prime \prime }+36 x&=0 \\ x \left (0\right ) &= 5 \\ x \left (\frac {\pi }{12}\right ) &= 7 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.450

23021	\begin{align} 9 y^{\prime \prime }+49 y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.225

23032	\begin{align} y^{\prime \prime }-9 y&=5 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.725

23054	\begin{align} s^{\prime \prime }&=-9 s \\ s \left (0\right ) &= 9 \\ s^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.257

23087	\begin{align} y^{\prime \prime }-4 y&=12 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.523

23097	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.110

23098	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	0.931

23099	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	0.870

23100	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.145

23233	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.338

23266	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.327

23267	\begin{align} y^{\prime \prime }-4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.336

23268	\begin{align} y^{\prime \prime }+a^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.771

23273	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.372

23280	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.700

23301	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.267

23302	\begin{align} y^{\prime \prime }+a^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.484

23316	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.072

23322	\begin{align} 2 y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.537

23323	\begin{align} y^{\prime \prime }+16 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.082

23326	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.970

23329	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.556

23331	\begin{align} y^{\prime \prime }+25 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.562

23337	\begin{align} y^{\prime \prime }+6 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.493

23338	\begin{align} y^{\prime \prime }-9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.787

23346	\begin{align} y^{\prime \prime }+3 y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= -6 \sqrt {3} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.913

23351	\begin{align} 4 y+y^{\prime \prime }&=0 \\ y \left (\frac {\pi }{4}\right ) &= 1 \\ y^{\prime }\left (\frac {\pi }{4}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.748

23930	\begin{align} y^{\prime \prime }-k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.110

23931	\begin{align} y^{\prime \prime }+k^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.754

23977	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.321

24471	\begin{align} y^{\prime \prime }+9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.533

24472	\begin{align} y^{\prime \prime }-9 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.633

24476	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= y_{0} \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.309

24477	\begin{align} y^{\prime \prime }+y&=0 \\ y \left (0\right ) &= y_{0} \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.192

24519	\begin{align} y^{\prime \prime }+y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.747

24520	\begin{align} 4 y+y^{\prime \prime }&=8 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.763

24879	\begin{align} y^{\prime \prime }+\beta ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.421

24910	\begin{align} y^{\prime \prime }+4 y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.687

25470	\begin{align} m y^{\prime \prime }+k y&=F \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	7.661

25515	\begin{align} m y^{\prime \prime }+k y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.746

25517	\begin{align} y^{\prime \prime }&=-9 y \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.230

25523	\begin{align} y^{\prime \prime }+100 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 10 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.042

25528	\begin{align} m y^{\prime \prime }+k y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	81.775

25533	\begin{align} y^{\prime \prime }+\omega ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.598

25544	\begin{align} y^{\prime \prime }&=\operatorname {Direct}_{t} \\ \end{align}	[[_2nd_order, _quadrature]]	✓	✓	✓	✓	2.253

25556	\begin{align} y^{\prime \prime }+k y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.692

25561	\begin{align} y^{\prime \prime }+\omega ^{2} y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.852

25583	\begin{align} y^{\prime \prime }+y&=4 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.984

25624	\begin{align} y^{\prime \prime }+y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.717

25697	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (0\right ) &= -1 \\ x^{\prime }\left (0\right ) &= 8 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.714

25699	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (\frac {\pi }{6}\right ) &= {\frac {1}{2}} \\ x^{\prime }\left (\frac {\pi }{6}\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.871

25700	\begin{align} x^{\prime \prime }+x&=0 \\ x \left (\frac {\pi }{4}\right ) &= \sqrt {2} \\ x^{\prime }\left (\frac {\pi }{4}\right ) &= 2 \sqrt {2} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.789

25701	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.739

25704	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.510

25725	\begin{align} y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.783

25727	\begin{align} y^{\prime \prime }+9 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (\pi \right ) &= 5 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.681

25739	\begin{align} y^{\prime \prime }+9 y&=18 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.223

25924	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.009

26108	\begin{align} y^{\prime \prime }+y&=1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.219

26142	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y \left (2 \pi \right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.185

26144	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (\pi \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.329

26428	\begin{align} y^{\prime \prime }+y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.259

26466	\begin{align} 2 y^{\prime \prime }&=a \,{\mathrm e}^{y} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	8.805

26480	\begin{align} y^{\prime \prime }-y&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.614

26517	\begin{align} y^{\prime \prime }+k^{2} y&=k \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.358

26542	\begin{align} y^{\prime \prime }+9 y-9&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.921

26685	\begin{align} y^{\prime \prime }+\lambda y&=0 \\ y \left (0\right ) &= 0 \\ y \left (1\right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.026

26686	\begin{align} y^{\prime \prime }-y&=0 \\ y \left (0\right ) &= 0 \\ y \left (2 \pi \right ) &= 1 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.142

26688	\begin{align} y^{\prime \prime }-k^{2} y&=0 \\ y \left (0\right ) &= v_{1} \\ y \left (x_{0} \right ) &= v_{2} \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	33.503

26689	\begin{align} y^{\prime \prime }-k^{2} y&=0 \\ y \left (0\right ) &= v \\ y \left (x_{0} \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	4.957

26690	\begin{align} y^{\prime \prime }-\alpha ^{2} s y&=0 \\ y \left (0\right ) &= \frac {1}{s} \\ y \left (x_{0} \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	6.982

26691	\begin{align} y^{\prime \prime }-\alpha ^{2} s y&=0 \\ y \left (0\right ) &= -\frac {1}{s} \\ y \left (x_{0} \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	8.636

26692	\begin{align} y^{\prime \prime }&=\alpha ^{2} s^{2} y+\alpha ^{2} g L \\ y \left (0\right ) &= 0 \\ y \left (x_{0} \right ) &= 0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	33.458

26693	\begin{align} y^{\prime \prime }-\lambda ^{2} y&=0 \\ y \left (0\right ) &= 0 \\ y \left (1\right ) &= \frac {1}{\lambda } \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.563

26694	\begin{align} y^{\prime \prime }-\lambda ^{2} y&=0 \\ y^{\prime }\left (0\right ) &= 0 \\ y \left (1\right ) &= \frac {1}{\lambda } \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.647

26695	\begin{align} y^{\prime \prime }-\lambda ^{2} y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (1\right ) &= \frac {1}{\lambda } \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.217

26696	\begin{align} y^{\prime \prime }-\lambda ^{2} y&=0 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime }\left (1\right ) &= \frac {1}{\lambda } \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	3.336

26925	\begin{align} y^{\prime \prime }+36 y&=0 \\ y \left (0\right ) &= -5 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.582

26926	\begin{align} y^{\prime \prime }-16 y&=0 \\ y \left (0\right ) &= 12 \\ y^{\prime }\left (0\right ) &= 3 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	2.003

27542	\begin{align} y^{\prime \prime }&={\mathrm e}^{y} \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✓	✓	6.216

27611	\begin{align} y^{\prime \prime }+\sin \left (y\right )&=0 \\ y \left (\infty \right ) &= \pi \\ \end{align}	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓	✓	✗	✗	13.510

27618	\begin{align} 4 y+y^{\prime \prime }&=0 \\ \end{align}	[[_2nd_order, _missing_x]]	✓	✓	✓	✓	1.326

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