| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 20101 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+4 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
5.317 |
|
| 20102 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+4 x \right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
5.318 |
|
| 20103 |
\begin{align*}
y^{\prime }+2 \cot \left (x \right ) y&=5 \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.318 |
|
| 20104 |
\begin{align*}
y^{\prime }&=2 t y+3 t \,{\mathrm e}^{t^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.319 |
|
| 20105 |
\begin{align*}
y^{\prime } x&=a +b \,x^{n}+c y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.320 |
|
| 20106 |
\begin{align*}
2 t \sin \left (y\right )+{\mathrm e}^{t} y^{3}+\left (\cos \left (y\right ) t^{2}+3 \,{\mathrm e}^{t} y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.322 |
|
| 20107 |
\begin{align*}
y^{\prime }&=2 \csc \left (2 x \right ) \sec \left (x \right )^{2}-2 y \cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.322 |
|
| 20108 |
\begin{align*}
y^{\prime }+4 y&=t \,{\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.322 |
|
| 20109 |
\begin{align*}
y^{\prime }&=y^{2}+\frac {1}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.325 |
|
| 20110 |
\begin{align*}
y^{\prime }&=\lambda \sinh \left (\lambda x \right ) y^{2}-\lambda \sinh \left (\lambda x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
5.331 |
|
| 20111 |
\begin{align*}
y^{\prime \prime }&=\operatorname {f3} \left (x \right )+\operatorname {f2} \left (x \right ) y^{2}+\left (\operatorname {f1} \left (x \right )-2 y\right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
5.339 |
|
| 20112 |
\begin{align*}
y^{\prime }&=\frac {y^{3}-3 x y^{2} \ln \left (x \right )+3 x^{2} \ln \left (x \right )^{2} y-x^{3} \ln \left (x \right )^{3}+x^{2}+y x}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.339 |
|
| 20113 |
\begin{align*}
y^{\prime \prime }+a \,x^{n} y^{\prime }-b \left (a \,x^{n +m}+b \,x^{2 m}+m \,x^{m -1}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
5.339 |
|
| 20114 |
\begin{align*}
x^{\prime }&=x \left (4+x\right ) \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.339 |
|
| 20115 |
\begin{align*}
\left (\left (1-a \right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}+2 a x y y^{\prime }+x^{2}+\left (1-a \right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.342 |
|
| 20116 |
\begin{align*}
3 x^{4} {y^{\prime }}^{2}-y x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.344 |
|
| 20117 |
\begin{align*}
y^{\prime }-\tan \left (y\right )&=\frac {{\mathrm e}^{x}}{\cos \left (y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.345 |
|
| 20118 |
\begin{align*}
1+{y^{\prime }}^{2}+2 y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.345 |
|
| 20119 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=-1-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.348 |
|
| 20120 |
\begin{align*}
2 t \sin \left (y\right )-2 y \sin \left (t^{2}\right ) t +\left (\cos \left (y\right ) t^{2}+\cos \left (t^{2}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.348 |
|
| 20121 |
\begin{align*}
y^{\prime }-\frac {3 y}{x}&=\frac {2 x^{4} \left (4 x^{3}-3 y\right )}{3 x^{5}+3 x^{3}+2 y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.350 |
|
| 20122 |
\begin{align*}
y^{\prime }&=x^{2} \left (a \,x^{3}+b y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.351 |
|
| 20123 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{2 x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.352 |
|
| 20124 |
\begin{align*}
y^{\prime }+y&=\left \{\begin {array}{cc} {\mathrm e}^{-x} & 0\le x <2 \\ {\mathrm e}^{-2} & 2\le x \end {array}\right . \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.352 |
|
| 20125 |
\begin{align*}
y^{\prime }+\cos \left (x \right ) y&=y^{n} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.353 |
|
| 20126 |
\begin{align*}
i^{\prime }&=\frac {t -i t}{t^{2}+1} \\
i \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.354 |
|
| 20127 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\lambda x} y^{2}+b n \,x^{n -1}-a \,b^{2} {\mathrm e}^{\lambda x} x^{2 n} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
5.355 |
|
| 20128 |
\begin{align*}
\left (b^{2} x^{2}+a \right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
5.356 |
|
| 20129 |
\begin{align*}
y^{\prime }&=2 x \left (\pi +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.357 |
|
| 20130 |
\begin{align*}
x \ln \left (x \right ) y^{\prime }-y&=3 x^{3} \ln \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.358 |
|
| 20131 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.359 |
|
| 20132 |
\begin{align*}
y^{\prime } x&=a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.360 |
|
| 20133 |
\begin{align*}
2 y-6 x +\left (x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.361 |
|
| 20134 |
\begin{align*}
y^{\prime }&=\frac {y x}{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.361 |
|
| 20135 |
\begin{align*}
y&=x {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.362 |
|
| 20136 |
\begin{align*}
h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}}&=b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.362 |
|
| 20137 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (6+x \right ) y^{\prime }+10 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
5.362 |
|
| 20138 |
\begin{align*}
y^{\prime }&=-\frac {8 x \left (-1+a \right ) \left (1+a \right )}{8+2 x^{4}+x^{6}-8 y-8 y^{2} a^{2} x^{2}-2 y^{4} a^{2}+y^{6}+4 a^{4} y^{2} x^{2}+2 y^{4}+3 x^{2} y^{4}-9 y^{2} a^{2} x^{4}+a^{8} x^{6}-4 a^{6} x^{6}+6 a^{4} x^{6}-8 a^{2}+3 y^{2} x^{4}+4 y^{2} x^{2}-6 a^{2} x^{4}-6 y^{4} a^{2} x^{2}-2 a^{6} x^{4}+6 a^{4} x^{4}-4 a^{2} x^{6}-y^{6} a^{2}+3 a^{4} y^{4} x^{2}-3 a^{6} y^{2} x^{4}+9 y^{2} a^{4} x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.362 |
|
| 20139 |
\begin{align*}
\left (x^{2}+a \right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
5.365 |
|
| 20140 |
\begin{align*}
y^{\prime }&={\mathrm e}^{2 y+10 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.367 |
|
| 20141 |
\begin{align*}
x^{4} y^{\prime }&=-x^{3} y-\csc \left (y x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.367 |
|
| 20142 |
\begin{align*}
y^{\prime }&=-\frac {i \left (i x +x^{4}+2 y^{2} x^{2}+y^{4}\right )}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.368 |
|
| 20143 |
\begin{align*}
y^{\prime }-y x&=-x^{5}+4 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.371 |
|
| 20144 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
y^{\prime }\left (\pi \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
5.372 |
|
| 20145 |
\begin{align*}
2 t -2 \,{\mathrm e}^{t y} \sin \left (2 t \right )+{\mathrm e}^{t y} \cos \left (2 t \right ) y+\left (-3+{\mathrm e}^{t y} t \cos \left (2 t \right )\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.374 |
|
| 20146 |
\begin{align*}
y^{\prime }-\frac {2 y}{x}&=x^{2} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.375 |
|
| 20147 |
\begin{align*}
x^{\prime }&=x^{2}-t^{2} \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.376 |
|
| 20148 |
\begin{align*}
\sin \left (x \right ) y^{\prime }&=\cos \left (x \right ) y+\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.377 |
|
| 20149 |
\begin{align*}
\sin \left (x \right ) \cos \left (y\right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.378 |
|
| 20150 |
\begin{align*}
\frac {1}{x}+2 x y^{2}+\left (2 x^{2} y-\cos \left (y\right )\right ) y^{\prime }&=0 \\
y \left (1\right ) &= \pi \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.379 |
|
| 20151 |
\begin{align*}
\left (-2+2 y\right ) y^{\prime }&=2 x -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.380 |
|
| 20152 |
\begin{align*}
\left (t^{2}+4\right ) y^{\prime }+2 t y&=2 t \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.380 |
|
| 20153 |
\begin{align*}
y^{\prime }&=-\frac {\left (-108 x^{{3}/{2}}-216-216 y^{2}+72 x^{3} y-6 x^{6}-216 y^{3}+108 x^{3} y^{2}-18 x^{6} y+x^{9}\right ) \sqrt {x}}{216} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.381 |
|
| 20154 |
\begin{align*}
3 y x +2 y^{2}+y+\left (x^{2}+2 y x +x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.382 |
|
| 20155 |
\begin{align*}
y^{\prime }&=x \left (a y^{2}+b \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.390 |
|
| 20156 |
\begin{align*}
y^{\prime }&=2 y-2 t y \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.391 |
|
| 20157 |
\begin{align*}
y^{\prime }&=\frac {2 y^{6}}{y^{3}+2+16 x y^{2}+32 x^{2} y^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.391 |
|
| 20158 |
\begin{align*}
\frac {\cos \left (y\right )}{x +3}-\left (\sin \left (y\right ) \ln \left (5 x +15\right )-\frac {1}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.392 |
|
| 20159 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+\left (\tan \left (x \right )+\cot \left (x \right )\right ) y y^{\prime }+\left (\cos \left (x \right )^{2}-n^{2} \cot \left (x \right )^{2}\right ) y^{2} \ln \left (y\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
5.393 |
|
| 20160 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+4 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
5.393 |
|
| 20161 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2 \pi \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.393 |
|
| 20162 |
\begin{align*}
y^{\prime }&=x^{3} \left (1-y\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.396 |
|
| 20163 |
\begin{align*}
2 x y^{2}-3 y^{3}+\left (7-3 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.400 |
|
| 20164 |
\begin{align*}
2 x y^{3}+1+\left (3 y^{2} x^{2}-\frac {1}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.401 |
|
| 20165 |
\begin{align*}
y^{\prime } x&=a y^{2}+\left (n +b \,x^{n}\right ) y+c \,x^{2 n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.401 |
|
| 20166 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.401 |
|
| 20167 |
\begin{align*}
v v^{\prime }&=\frac {2 v^{2}}{r^{3}}+\frac {\lambda r}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.405 |
|
| 20168 |
\begin{align*}
y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.406 |
|
| 20169 |
\begin{align*}
y^{\prime }-\frac {2 y}{x}&=0 \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.408 |
|
| 20170 |
\begin{align*}
y^{\prime }-4 y&=2 x y^{2} \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.409 |
|
| 20171 |
\begin{align*}
y^{\prime } x&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.413 |
|
| 20172 |
\begin{align*}
y^{\prime }&=\frac {x -y+\sqrt {y}}{x -y+\sqrt {y}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.414 |
|
| 20173 |
\begin{align*}
x^{\prime }+5 x&=\operatorname {Heaviside}\left (-2+t \right ) \\
x \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.414 |
|
| 20174 |
\begin{align*}
x y^{2}+x +\left (x^{2} y-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.415 |
|
| 20175 |
\begin{align*}
\tan \left (x \right ) \sin \left (y\right )+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.416 |
|
| 20176 |
\begin{align*}
y^{\prime }&=\frac {\left (\ln \left (y\right )+x +x^{3}+x^{4}\right ) y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.420 |
|
| 20177 |
\begin{align*}
2 x +2 x y^{2}+\left (x^{2} y+2 y+3 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.421 |
|
| 20178 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }+\left (3 x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
5.423 |
|
| 20179 |
\begin{align*}
\left (a \,x^{2}+b \right )^{2} y^{\prime \prime }+2 a x \left (a \,x^{2}+b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.428 |
|
| 20180 |
\begin{align*}
y^{\prime }&=x \sqrt {1-y^{2}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.429 |
|
| 20181 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{2 c}+b \,x^{c -1}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
5.431 |
|
| 20182 |
\begin{align*}
y^{3}+2 \,{\mathrm e}^{x} y+\left ({\mathrm e}^{x}+3 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.432 |
|
| 20183 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } x +\left (4 x^{3}-4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
5.434 |
|
| 20184 |
\begin{align*}
\left (x^{2}+6 x y^{2}\right ) y^{\prime }-y \left (3 y^{2}-x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.435 |
|
| 20185 |
\begin{align*}
y y^{\prime }&=a_{0} +a_{1} y+a_{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.436 |
|
| 20186 |
\begin{align*}
\left (2 x +1\right ) y^{\prime }+y&=\left (2 x +1\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.437 |
|
| 20187 |
\begin{align*}
y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.440 |
|
| 20188 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.441 |
|
| 20189 |
\begin{align*}
y^{\prime }&=2 t y^{2}+3 t^{2} y^{2} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.444 |
|
| 20190 |
\begin{align*}
y^{\prime }&=\frac {2 x}{1+2 y} \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.444 |
|
| 20191 |
\begin{align*}
y^{\prime }&=\frac {1}{y} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.445 |
|
| 20192 |
\begin{align*}
y^{\prime }&=\frac {y^{2}-4 t y+6 t^{2}}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.446 |
|
| 20193 |
\begin{align*}
y^{\prime } x +y&=3 y x \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.447 |
|
| 20194 |
\begin{align*}
y^{\prime } x&={\mathrm e}^{\frac {y}{x}} x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.450 |
|
| 20195 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x +3 y}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.450 |
|
| 20196 |
\begin{align*}
i^{\prime }&=\frac {i t^{2}}{t^{3}-i^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.454 |
|
| 20197 |
\begin{align*}
y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+4 \csc \left (x \right )^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
5.455 |
|
| 20198 |
\begin{align*}
y^{3} y^{\prime \prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.457 |
|
| 20199 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=\frac {x^{2}}{\ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.459 |
|
| 20200 |
\begin{align*}
\left (x -1\right ) y^{\prime }+3 y&=\frac {1}{\left (x -1\right )^{3}}+\frac {\sin \left (x \right )}{\left (x -1\right )^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
5.460 |
|