| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13201 |
\begin{align*}
y^{\prime }&=2-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 13202 |
\begin{align*}
\left (x^{4}-x^{3}\right ) y^{\prime \prime }+\left (2 x^{3}-2 x^{2}-x \right ) y^{\prime }-y&=\frac {\left (x -1\right )^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.214 |
|
| 13203 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.215 |
|
| 13204 |
\begin{align*}
\left ({y^{\prime }}^{2}-\frac {1}{a^{2}-x^{2}}\right ) \left (y^{\prime }-\sqrt {\frac {y}{x}}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.215 |
|
| 13205 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{2}+y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.216 |
|
| 13206 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{2 x}+\frac {y}{4 x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.216 |
|
| 13207 |
\begin{align*}
f \left (x \right ) y+\left (2+f \left (x \right ) x \right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.216 |
|
| 13208 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.216 |
|
| 13209 |
\begin{align*}
y^{\prime \prime }+y x&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13210 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {4}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13211 |
\begin{align*}
16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13212 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13213 |
\begin{align*}
x^{\prime \prime }+9 x&=\sin \left (t \right )+\sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13214 |
\begin{align*}
y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13215 |
\begin{align*}
y^{\prime } \left (x -\ln \left (y^{\prime }\right )\right )&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| 13216 |
\begin{align*}
y^{\prime \prime }&=\cos \left (x \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.218 |
|
| 13217 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.218 |
|
| 13218 |
\begin{align*}
x^{\prime }&=x+y+{\mathrm e}^{-t} \\
y^{\prime }&=4 x-2 y+{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.218 |
|
| 13219 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.218 |
|
| 13220 |
\begin{align*}
q^{\prime }&=k \left (q-70\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.219 |
|
| 13221 |
\begin{align*}
y^{\prime \prime }+y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.219 |
|
| 13222 |
\begin{align*}
2 y y^{\prime \prime }&={y^{\prime }}^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.219 |
|
| 13223 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.220 |
|
| 13224 |
\begin{align*}
a^{2} y^{\prime \prime }+a \left (a^{2}-2 b \,{\mathrm e}^{-a x}\right ) y^{\prime }+b^{2} {\mathrm e}^{-2 a x} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.220 |
|
| 13225 |
\begin{align*}
4 x^{\prime }-y^{\prime }+3 x&=\sin \left (t \right ) \\
x^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.220 |
|
| 13226 |
\begin{align*}
-5 y-3 x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.220 |
|
| 13227 |
\begin{align*}
y^{\prime \prime } \sqrt {a^{2}+x^{2}}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.220 |
|
| 13228 |
\begin{align*}
4 y {y^{\prime }}^{2}-2 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.220 |
|
| 13229 |
\begin{align*}
-y+x \left (2 x^{2}+1\right ) y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.221 |
|
| 13230 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.221 |
|
| 13231 |
\begin{align*}
y^{\prime }&=y \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.222 |
|
| 13232 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.222 |
|
| 13233 |
\begin{align*}
x y^{\prime \prime }-y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.222 |
|
| 13234 |
\begin{align*}
x^{2} y^{\prime \prime }+25 x y^{\prime }+144 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.222 |
|
| 13235 |
\begin{align*}
y {y^{\prime }}^{2}+2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.223 |
|
| 13236 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime } t -4 x&=1 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.223 |
|
| 13237 |
\begin{align*}
x_{1}^{\prime }&=-x_{3} \\
x_{2}^{\prime }&=2 x_{1} \\
x_{3}^{\prime }&=-x_{1}+2 x_{2}+4 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 7 \\
x_{2} \left (0\right ) &= 5 \\
x_{3} \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.223 |
|
| 13238 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.224 |
|
| 13239 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {1}{2}+2 x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.224 |
|
| 13240 |
\begin{align*}
y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }+5 y&={\mathrm e}^{x} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.224 |
|
| 13241 |
\begin{align*}
k^{2} y^{\prime \prime }+2 k y^{\prime }+\left (k^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.224 |
|
| 13242 |
\begin{align*}
x^{\prime }&=a x+b y \\
y^{\prime }&=c x+b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.225 |
|
| 13243 |
\begin{align*}
9 y^{\prime \prime }+49 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.225 |
|
| 13244 |
\begin{align*}
t^{3} y^{\prime \prime }+\sin \left (t^{3}\right ) y^{\prime }+y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
1.226 |
|
| 13245 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=6 x_{2}-7 x_{3}+3 x_{4} \\
x_{3}^{\prime }&=3 x_{3}-x_{4} \\
x_{4}^{\prime }&=-4 x_{2}+9 x_{3}-3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.226 |
|
| 13246 |
\begin{align*}
y+y^{\prime }&=5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.226 |
|
| 13247 |
\begin{align*}
y^{\prime }&=4+y \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.226 |
|
| 13248 |
\begin{align*}
y^{\prime \prime }-4 y&=\delta \left (-3+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13249 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }&=-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13250 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (-x^{3}+3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13251 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (25 x^{2}-\frac {4}{9}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13252 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y-\frac {x^{3}}{\cos \left (x \right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.227 |
|
| 13253 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+b \left (-b \,x^{2}+a x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.227 |
|
| 13254 |
\begin{align*}
x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13255 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=\cos \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13256 |
\begin{align*}
y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13257 |
\begin{align*}
y^{\prime }&=2-y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.227 |
|
| 13258 |
\begin{align*}
4 y+y^{\prime \prime }&=x^{2}+\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.228 |
|
| 13259 |
\begin{align*}
3 x^{\prime }+3 x+2 y&={\mathrm e}^{t} \\
4 x-3 y^{\prime }+3 y&=3 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.228 |
|
| 13260 |
\begin{align*}
y^{\prime \prime }+{y^{\prime }}^{2}&=1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.228 |
|
| 13261 |
\begin{align*}
y {y^{\prime }}^{2}+2 x y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.228 |
|
| 13262 |
\begin{align*}
y^{\prime }&=y^{2}-4 y-12 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.229 |
|
| 13263 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.229 |
|
| 13264 |
\begin{align*}
y^{\prime \prime \prime \prime }-6 y&=t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 9 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.229 |
|
| 13265 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.230 |
|
| 13266 |
\begin{align*}
\left (\operatorname {a2} x +\operatorname {c2} \right ) {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {a0} x +\operatorname {b0} y+\operatorname {c0}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
1.230 |
|
| 13267 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.230 |
|
| 13268 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.230 |
|
| 13269 |
\begin{align*}
y^{\prime }&={\mathrm e}^{y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.231 |
|
| 13270 |
\begin{align*}
f \left (y^{\prime \prime }\right )+x y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.231 |
|
| 13271 |
\begin{align*}
x^{2} y^{\prime \prime }+a y^{\prime }-\left (b^{2} x^{2}+a b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.231 |
|
| 13272 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.231 |
|
| 13273 |
\begin{align*}
y^{\prime }&=\frac {-3 x^{2} y+F \left (x^{3} y\right )}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.232 |
|
| 13274 |
\begin{align*}
y^{\prime \prime }+y&=g \left (t \right ) \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.232 |
|
| 13275 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\cos \left (t \right )+\delta \left (t -\frac {\pi }{2}\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.233 |
|
| 13276 |
\begin{align*}
\left ({\mathrm e}^{t}-1\right ) y^{\prime \prime }+{\mathrm e}^{t} y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
1.233 |
|
| 13277 |
\begin{align*}
f \left (x \right ) y^{\prime }+g \left (x \right ) {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.233 |
|
| 13278 |
\begin{align*}
5 y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.233 |
|
| 13279 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=\sin \left (2 x \right ) x +x^{3} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.233 |
|
| 13280 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.233 |
|
| 13281 |
\begin{align*}
t^{2} y^{\prime \prime }+5 t y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13282 |
\begin{align*}
-\left (1-x \right ) y-x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.234 |
|
| 13283 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13284 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13285 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13286 |
\begin{align*}
x^{\prime }&=x+2 y+z-w \\
y^{\prime }&=-y+2 z+2 w \\
z^{\prime }&=2 y+2 z+2 w \\
w^{\prime }&=-3 y-6 z-6 w \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.234 |
|
| 13287 |
\begin{align*}
\left (1-t \right ) y^{\prime \prime }+t y^{\prime }-y&=2 \left (t -1\right ) {\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.235 |
|
| 13288 |
\begin{align*}
y \left (6 y^{2}-x -1\right )+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.235 |
|
| 13289 |
\begin{align*}
x^{\prime }+k x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.235 |
|
| 13290 |
\begin{align*}
2 x^{2} y^{\prime \prime }+7 x \left (x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.235 |
|
| 13291 |
\begin{align*}
x^{\prime \prime }-x+3 x^{2}&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.236 |
|
| 13292 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right )+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.236 |
|
| 13293 |
\begin{align*}
4 x^{2} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime } x -y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13294 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.237 |
|
| 13295 |
\begin{align*}
z^{\prime }+5 y-2 z&=x \\
y^{\prime }+4 y+z&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13296 |
\begin{align*}
4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.237 |
|
| 13297 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13298 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }&=\frac {1}{x^{2}+1} \\
y \left (\infty \right ) &= \frac {\pi ^{2}}{8} \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.237 |
|
| 13299 |
\begin{align*}
c y^{\prime }&=a x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.238 |
|
| 13300 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }&=y+{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.238 |
|