| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 12101 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=2 \,{\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 12102 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 12103 |
\begin{align*}
-y+y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 12104 |
\begin{align*}
x {y^{\prime }}^{n}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 12105 |
\begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -T \right ) \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 12106 |
\begin{align*}
y^{\prime \prime }+y&=4 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 12107 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 12108 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{-x} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 12109 |
\begin{align*}
2 x^{2} y^{\prime \prime }+7 x \left (x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 12110 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12111 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+10 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12112 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 12113 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12114 |
\begin{align*}
y^{\prime \prime }+2 x^{2} y^{\prime }+4 y x&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 12115 |
\begin{align*}
-y^{\prime }+y^{\prime \prime } x&={\mathrm e}^{x} x^{2} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12116 |
\begin{align*}
y^{\prime }+2 y&=\left \{\begin {array}{cc} 1 & 0\le t \le 1 \\ 0 & 1<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12117 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=5 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 12118 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (2 x +1\right ) y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12119 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+32 y^{\prime \prime }+64 y^{\prime }+39 y&={\mathrm e}^{-2 x} \left (\left (4-15 x \right ) \cos \left (3 x \right )-\left (4+15 x \right ) \sin \left (3 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12120 |
\begin{align*}
2 y y^{\prime \prime }&={y^{\prime }}^{2} \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.961 |
|
| 12121 |
\begin{align*}
x^{\prime \prime }+x&=\frac {1}{1+t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12122 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-x^{4}+x \right ) y^{\prime }+3 x^{3} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12123 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{10}+x&=3 \cos \left (2 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12124 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\operatorname {Heaviside}\left (-2+t \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 12125 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 12126 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+4 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 12127 |
\begin{align*}
y+y^{\prime }&=2 \sin \left (t \right ) \\
y \left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 12128 |
\begin{align*}
z^{\prime }+y^{\prime }+5 y-3 z&=x +{\mathrm e}^{x} \\
y^{\prime }+2 y-z&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 12129 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=9 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 12130 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.962 |
|
| 12131 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.963 |
|
| 12132 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (1-10 x \right ) y^{\prime }-\left (9-10 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 12133 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (1+y^{\prime }\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 12134 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (36 x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 12135 |
\begin{align*}
y^{\prime \prime }+b y^{\prime }+c y&=0 \\
y \left (\pi \right ) &= 0 \\
y \left (2 \pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 12136 |
\begin{align*}
y^{\prime \prime }-\frac {a^{2} y^{\prime }}{x \left (a^{2}-x^{2}\right )}&=\frac {x^{2}}{a \left (a^{2}-x^{2}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.963 |
|
| 12137 |
\begin{align*}
x {y^{\prime }}^{3}&=a +b y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 12138 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (x \right )+4 \cos \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12139 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12140 |
\begin{align*}
y^{\prime \prime } x +\left (2 a x +b \right ) y^{\prime }+a \left (a x +b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 12141 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y&=\cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12142 |
\begin{align*}
z^{\prime \prime }-4 z^{\prime }+13 z&=0 \\
z \left (0\right ) &= 7 \\
z^{\prime }\left (0\right ) &= 42 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12143 |
\begin{align*}
x^{\prime }&=4 x+3 y-6 \,{\mathrm e}^{3 t} \\
y^{\prime }&=x+6 y+2 \,{\mathrm e}^{3 t} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12144 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-18 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 12145 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{3 x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.965 |
|
| 12146 |
\begin{align*}
2 x^{2} y y^{\prime \prime }+y^{2}&=x^{2} {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.965 |
|
| 12147 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.965 |
|
| 12148 |
\begin{align*}
-y+y^{\prime } x +x^{5} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.966 |
|
| 12149 |
\begin{align*}
y y^{\prime }+\sqrt {16-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 12150 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 12151 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +k \left (1+k \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 12152 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= {\mathrm e}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 12153 |
\begin{align*}
y^{\prime }&=\ln \left (1+y^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12154 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 12155 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12156 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }+2 x \left (2 x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 12157 |
\begin{align*}
x y y^{\prime \prime }-x {y^{\prime }}^{2}+a y y^{\prime }+y^{3} b x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.967 |
|
| 12158 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12159 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12160 |
\begin{align*}
y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12161 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 12162 |
\begin{align*}
x^{2} \left (10 x^{2}+x +5\right ) y^{\prime \prime }+x \left (48 x^{2}+3 x +4\right ) y^{\prime }+\left (36 x^{2}+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12163 |
\begin{align*}
2 x^{\prime }+3 x-y&={\mathrm e}^{t} \\
5 x-3 y^{\prime }&=y+2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12164 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{x} \left (x +1\right )+2 \,{\mathrm e}^{2 x}+3 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12165 |
\begin{align*}
x {y^{\prime }}^{2}+x y y^{\prime \prime }&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.968 |
|
| 12166 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12167 |
\begin{align*}
y^{2} y^{\prime \prime }+y {y^{\prime }}^{2}-a x -b&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.968 |
|
| 12168 |
\begin{align*}
x^{\prime }&=3 x-y+1 \\
y^{\prime }&=x+y+2 \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12169 |
\begin{align*}
-y^{\prime }+y^{\prime \prime } x&=6 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12170 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x -3}+\frac {y}{x -4}&=0 \\
\end{align*} Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12171 |
\begin{align*}
y^{\prime \prime }+\left (\tan \left (x \right )-1\right )^{2} y^{\prime }-n \left (n -1\right ) y \sec \left (x \right )^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.968 |
|
| 12172 |
\begin{align*}
2 x^{\prime }-x-y^{\prime }+y&=4 t \,{\mathrm e}^{-t}-3 \,{\mathrm e}^{-t} \\
x^{\prime }+4 x-2 y^{\prime }-4 y&=2 t \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12173 |
\begin{align*}
y^{\prime \prime }+2 z \omega _{n} y^{\prime }+\omega _{n}^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 12174 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-\left (x^{2}-1\right ) y^{\prime }+\left (x +1\right ) y&=\left (x -1\right )^{3} {\mathrm e}^{x} \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.969 |
|
| 12175 |
\begin{align*}
y y^{\prime }&=x +y^{2}-y^{2} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12176 |
\begin{align*}
y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12177 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12178 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+\left (x +1\right ) x y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12179 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}+f \left (x \right ) y^{2}+a&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.969 |
|
| 12180 |
\begin{align*}
y^{\prime \prime }-t y&=\frac {1}{\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12181 |
\begin{align*}
k^{2} y^{\prime \prime }+2 k y^{\prime }+\left (k^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12182 |
\begin{align*}
y^{\prime \prime }+y&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 12183 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+4 y^{\prime } x +2 y&=0 \\
y \left (0\right ) &= -5 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 12184 |
\begin{align*}
x^{2} \left (x^{2}+2 x +1\right ) y^{\prime \prime }+x \left (4 x^{2}+3 x +1\right ) y^{\prime }-x \left (1-2 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12185 |
\begin{align*}
t y^{\prime \prime }-\left (t^{2}+2\right ) y^{\prime }+t y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12186 |
\begin{align*}
y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=\sin \left (x \right ) \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12187 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +\left (2+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 12188 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 12189 |
\begin{align*}
y^{\prime }+4 y&=8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12190 |
\begin{align*}
y-y^{\prime } t&=-2 {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 12191 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=3 x^{{3}/{2}} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 12192 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12193 |
\begin{align*}
4 x {y^{\prime }}^{2}&=\left (3 x -1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12194 |
\begin{align*}
N_{1}^{\prime }&=4 N_{1}-6 N_{2} \\
N_{2}^{\prime }&=8 N_{1}-10 N_{2} \\
\end{align*} With initial conditions \begin{align*}
N_{1} \left (0\right ) &= 100000 \\
N_{2} \left (0\right ) &= 1000 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 12195 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2 x^{3}-x \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 12196 |
\begin{align*}
y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 12197 |
\begin{align*}
2 \left (x +1\right ) y-2 x \left (x +1\right ) y^{\prime }+x^{2} y^{\prime \prime }&=-4 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 12198 |
\begin{align*}
6 y-2 y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 12199 |
\begin{align*}
y^{\prime }+2 y&=1 \\
y \left (0\right ) &= {\frac {5}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| 12200 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x&=a x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|