| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13101 |
\begin{align*}
y^{\prime }&=a f \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.188 |
|
| 13102 |
\begin{align*}
y y^{\prime \prime }+2 {y^{\prime }}^{2}&=3 y y^{\prime } \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= {\frac {3}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.188 |
|
| 13103 |
\begin{align*}
y^{\prime }&=k y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.188 |
|
| 13104 |
\begin{align*}
\left (x \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.188 |
|
| 13105 |
\begin{align*}
a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=\cosh \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.189 |
|
| 13106 |
\begin{align*}
y^{\prime }-y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.189 |
|
| 13107 |
\begin{align*}
4 y^{\prime \prime }-3 y^{\prime }&=x \,{\mathrm e}^{\frac {3 x}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.189 |
|
| 13108 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}+4 x_{3} \\
x_{2}^{\prime }&=3 x_{1}+2 x_{2}-x_{3} \\
x_{3}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.190 |
|
| 13109 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime }+a \left (x -y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.191 |
|
| 13110 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.191 |
|
| 13111 |
\begin{align*}
x^{2} \left (x -y\right ) y^{\prime \prime }+a \left (x y^{\prime }-y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.191 |
|
| 13112 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=t \,{\mathrm e}^{-t} \sin \left (\pi t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.191 |
|
| 13113 |
\begin{align*}
x^{\prime \prime }-x^{\prime } t +3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.191 |
|
| 13114 |
\begin{align*}
y^{\prime }&=y+1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.192 |
|
| 13115 |
\begin{align*}
y^{\prime }&=y^{2}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.192 |
|
| 13116 |
\begin{align*}
y^{\prime \prime \prime }+y&={\mathrm e}^{2 x} \sin \left (x \right )+{\mathrm e}^{\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.192 |
|
| 13117 |
\begin{align*}
y^{\prime \prime }+\left (1-\frac {2}{x^{2}}\right ) y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.192 |
|
| 13118 |
\begin{align*}
x^{2} \left (x -a \right )^{2} y^{\prime \prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.193 |
|
| 13119 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\frac {2}{y}} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.193 |
|
| 13120 |
\begin{align*}
x^{\prime }&=-x+y+1 \\
y^{\prime }&=x+y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.193 |
|
| 13121 |
\begin{align*}
x^{\prime \prime }+2 b x^{\prime }+k^{2} x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= v_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.193 |
|
| 13122 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{4}+y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13123 |
\begin{align*}
y^{\prime }&=y^{2}-y-6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13124 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+26 y&={\mathrm e}^{t} \left (\sec \left (5 t \right )+\csc \left (5 t \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13125 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }&=\cos \left (x \right ) \cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13126 |
\begin{align*}
y^{\prime \prime }-y&=x \sin \left (x \right )+\left (x^{2}+1\right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13127 |
\begin{align*}
i^{\prime \prime }+9 i&=12 \cos \left (3 t \right ) \\
i \left (0\right ) &= 4 \\
i^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13128 |
\begin{align*}
-y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.194 |
|
| 13129 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.195 |
|
| 13130 |
\begin{align*}
y^{\prime \prime }+\left (1-\frac {1}{x}\right ) y^{\prime }-\frac {y}{x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.195 |
|
| 13131 |
\begin{align*}
3 x y^{\prime \prime }+11 y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.195 |
|
| 13132 |
\begin{align*}
x^{\prime }+x+2 y^{\prime }+7 y&={\mathrm e}^{t}+2 \\
-2 x+y^{\prime }+3 y&={\mathrm e}^{t}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 13133 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.196 |
|
| 13134 |
\begin{align*}
y^{\prime \prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 13135 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.196 |
|
| 13136 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 13137 |
\begin{align*}
y^{\prime }&=y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 13138 |
\begin{align*}
x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 13139 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 13140 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.197 |
|
| 13141 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+14 y^{\prime \prime }-20 y^{\prime }+25 y&={\mathrm e}^{x} \left (\left (2+6 x \right ) \cos \left (2 x \right )+3 \sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 13142 |
\begin{align*}
y_{1}^{\prime }&=-7 y_{1}-4 y_{2}+4 y_{3} \\
y_{2}^{\prime }&=y_{1}+y_{3} \\
y_{3}^{\prime }&=-9 y_{1}-5 y_{2}+6 y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -6 \\
y_{2} \left (0\right ) &= 9 \\
y_{3} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 13143 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+26 \sin \left (t \right ) \\
x_{2}^{\prime }&=3 x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 13144 |
\begin{align*}
y^{\prime \prime }&=x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 13145 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=6 x \,{\mathrm e}^{-x} \left (1-{\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.198 |
|
| 13146 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }+5 \left (x -1\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.198 |
|
| 13147 |
\begin{align*}
4 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.199 |
|
| 13148 |
\begin{align*}
2 x y^{\prime \prime }-5 y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.199 |
|
| 13149 |
\begin{align*}
x^{\prime }+4 x&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.199 |
|
| 13150 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.200 |
|
| 13151 |
\begin{align*}
t^{2} x^{\prime \prime }+x^{\prime } t&=0 \\
x \left (1\right ) &= 0 \\
x^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 13152 |
\begin{align*}
y^{\prime }&=\tan \left (x \right ) \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 13153 |
\begin{align*}
y^{\prime \prime }&=6 \,{\mathrm e}^{x} \sin \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 13154 |
\begin{align*}
x^{\prime }&=x+3 y+2 t \\
y^{\prime }&=x-y+t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.201 |
|
| 13155 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (\frac {1}{2} x +x^{2}\right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.202 |
|
| 13156 |
\begin{align*}
y^{\prime }&=2 x +F \left (y-x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.202 |
|
| 13157 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=\left \{\begin {array}{cc} 0 & 0\le t <4 \\ 12 & 4\le t \end {array}\right . \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.202 |
|
| 13158 |
\begin{align*}
y^{\prime }&=\frac {2 y+F \left (\frac {y}{x^{2}}\right ) x^{3}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.203 |
|
| 13159 |
\begin{align*}
x^{\prime }&=-7 x+4 y+6 \,{\mathrm e}^{3 t} \\
y^{\prime }&=-5 x+2 y+6 \,{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.203 |
|
| 13160 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=\delta \left (t -1\right ) \\
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 ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 13161 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}-x_{2}+3 x_{3} \\
x_{3}^{\prime }&=-x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 13162 |
\begin{align*}
6 y+2 y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.204 |
|
| 13163 |
\begin{align*}
4 y^{2} {y^{\prime }}^{3}-2 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.204 |
|
| 13164 |
\begin{align*}
x+y^{\prime }&=\sin \left (t \right )+\cos \left (t \right ) \\
x^{\prime }+y&=\cos \left (t \right )-\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.204 |
|
| 13165 |
\begin{align*}
-a b y+\left (c -\left (a +b +1\right ) x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.204 |
|
| 13166 |
\begin{align*}
\left (2+3 y\right ) y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.204 |
|
| 13167 |
\begin{align*}
t +y+1-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.205 |
|
| 13168 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-\left (3 x -2\right ) y^{\prime }+2 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.205 |
|
| 13169 |
\begin{align*}
x^{2} \left (x +y\right ) y^{\prime \prime }-\left (x y^{\prime }-y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.206 |
|
| 13170 |
\begin{align*}
y^{\prime }-3 y&=6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.206 |
|
| 13171 |
\begin{align*}
y^{\prime } y^{\prime \prime \prime }&=3 {y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.206 |
|
| 13172 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+b y-f \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 13173 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 13174 |
\begin{align*}
y^{\prime \prime }&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.207 |
|
| 13175 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 13176 |
\begin{align*}
y^{\prime \prime \prime \prime }-16 y&=\sin \left (2 x \right ) x^{2}+x^{4} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 13177 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 13178 |
\begin{align*}
y_{1}^{\prime }&=y_{2}-y_{3} \\
y_{2}^{\prime }&=y_{1}+y_{3}-{\mathrm e}^{-t} \\
y_{3}^{\prime }&=y_{1}+y_{2}+{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 2 \\
y_{3} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| 13179 |
\begin{align*}
\sin \left (x \right )^{2} y^{\prime \prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.208 |
|
| 13180 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+2 x+31 y&={\mathrm e}^{t} \\
3 x^{\prime }+7 y^{\prime }+x+24 y&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 13181 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 13182 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.209 |
|
| 13183 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+2 x&=t \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 13184 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=26 \cos \left (\frac {x}{3}\right )-12 \sin \left (\frac {x}{3}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 13185 |
\begin{align*}
e y^{\prime \prime }&=-\frac {\left (w L +P \right ) x}{2}-\frac {w \,x^{2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.210 |
|
| 13186 |
\begin{align*}
t^{2} y^{\prime \prime }+5 t y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.211 |
|
| 13187 |
\begin{align*}
\left (b x +a \right ) y+2 a x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.211 |
|
| 13188 |
\begin{align*}
2 y x +a \,x^{4} {y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=b \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.211 |
|
| 13189 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c \left (a x +b -c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.211 |
|
| 13190 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.211 |
|
| 13191 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.212 |
|
| 13192 |
\begin{align*}
y^{\prime }&=2 y+1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.212 |
|
| 13193 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (3 t \right ) \tan \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.212 |
|
| 13194 |
\begin{align*}
y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.212 |
|
| 13195 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-v^{2}+x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.213 |
|
| 13196 |
\begin{align*}
y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 13197 |
\begin{align*}
y^{\prime }+i y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 13198 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.214 |
|
| 13199 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-2 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.214 |
|
| 13200 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=10 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.214 |
|