| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7001 |
\begin{align*}
y^{\prime \prime }+y&=-2 x +2 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 7002 |
\begin{align*}
\left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 y^{\prime } x +4 y&=\frac {2}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.876 |
|
| 7003 |
\begin{align*}
y^{\left (5\right )}-y^{\prime \prime \prime \prime }+2 y^{\prime }-y&=x^{4}-2 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.876 |
|
| 7004 |
\begin{align*}
x^{\prime \prime }+25 x&=90 \cos \left (4 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 90 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7005 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }-3 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7006 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7007 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -3 y x&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7008 |
\begin{align*}
z y^{\prime \prime }+\left (2 z -3\right ) y^{\prime }+\frac {4 y}{z}&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7009 |
\begin{align*}
y^{\prime \prime }-a \left (-y+y^{\prime } x \right )^{v}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.877 |
|
| 7010 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7011 |
\begin{align*}
x^{\prime }&=x+7 y \\
y^{\prime }&=3 x+5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7012 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.877 |
|
| 7013 |
\begin{align*}
t y^{\prime \prime }-2 \left (1+t \right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.877 |
|
| 7014 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7015 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7016 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7017 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-x}}{\sqrt {-x^{2}+4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7018 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7019 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}-x_{2} \\
x_{2}^{\prime }&=4 x_{1}-7 x_{2} \\
x_{3}^{\prime }&=6 x_{1}+6 x_{2}+4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7020 |
\begin{align*}
\left (x +1\right ) {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.878 |
|
| 7021 |
\begin{align*}
-2 y-x^{3} y^{\prime }+x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7022 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x}-\frac {y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7023 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{{\mathrm e}^{x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7024 |
\begin{align*}
\left (t^{2}-y^{2}\right ) y^{\prime }+y^{2}+t y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7025 |
\begin{align*}
y^{\prime \prime }-{\mathrm e}^{x} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7026 |
\begin{align*}
x^{\prime }&=4 x+a y \\
y^{\prime }&=8 x-6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7027 |
\begin{align*}
y^{\prime }&=2 \cos \left (x \right ) \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7028 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7029 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| 7030 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7031 |
\begin{align*}
2 y^{\prime \prime } x +5 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7032 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime }&=1 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 4 \\
y^{\prime \prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7033 |
\begin{align*}
x^{\prime }&=3 x+4 y \\
y^{\prime }&=2 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7034 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7035 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7036 |
\begin{align*}
y^{\prime \prime }+9 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.879 |
|
| 7037 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.879 |
|
| 7038 |
\begin{align*}
x^{\prime \prime }&=50 \\
x \left (0\right ) &= 20 \\
x^{\prime }\left (0\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 7039 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.880 |
|
| 7040 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-3 x_{2}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=2 x_{1}-x_{2}+{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 7041 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.880 |
|
| 7042 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-4 x_{2}-2 x_{4} \\
x_{2}^{\prime }&=x_{2} \\
x_{3}^{\prime }&=6 x_{1}-12 x_{2}-x_{3}-6 x_{4} \\
x_{4}^{\prime }&=-4 x_{2}-x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7043 |
\begin{align*}
t y^{\prime \prime }-\left (t +4\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 7044 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (2 x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7045 |
\begin{align*}
f^{\prime \prime }+2 f^{\prime }+5 f&={\mathrm e}^{-t} \cos \left (3 t \right ) \\
f \left (0\right ) &= 0 \\
f^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7046 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=\frac {4 \,{\mathrm e}^{-2 x}}{x^{2}+1}+2 x^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 7047 |
\begin{align*}
y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 7048 |
\begin{align*}
y^{\prime \prime }-y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7049 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+3 x_{2} \\
x_{2}^{\prime }&=-3 x_{1}+5 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7050 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (\alpha +\beta +1\right ) \left (x -a \right )^{2} \left (x -b \right )+\left (1-\alpha -\beta \right ) \left (x -b \right )^{2} \left (x -a \right )\right ) y^{\prime }}{\left (x -a \right )^{2} \left (x -b \right )^{2}}-\frac {\alpha \beta \left (a -b \right )^{2} y}{\left (x -a \right )^{2} \left (x -b \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 7051 |
\(\left [\begin {array}{cccc} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.881 |
|
| 7052 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7053 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+25 y&={\mathrm e}^{-3 t} \left (\sec \left (4 t \right )+\csc \left (4 t \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7054 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7055 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7056 |
\begin{align*}
y^{\prime }&={\mathrm e}^{t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.881 |
|
| 7057 |
\begin{align*}
t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.881 |
|
| 7058 |
\begin{align*}
y^{\prime \prime }-\frac {2 \left (1+t \right ) y^{\prime }}{t^{2}+2 t -1}+\frac {2 y}{t^{2}+2 t -1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.882 |
|
| 7059 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 7060 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 7061 |
\begin{align*}
y^{\prime }-5 y&=0 \\
y \left (\pi \right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.882 |
|
| 7062 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.883 |
|
| 7063 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.883 |
|
| 7064 |
\begin{align*}
y^{\prime \prime }+p \left (t \right ) y^{\prime }+q \left (t \right ) y&=1+t \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.884 |
|
| 7065 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=-x_{1} \\
x_{3}^{\prime }&=5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 7066 |
\begin{align*}
y^{\prime }&=\sin \left (x \right ) \left (2 \sec \left (x \right )^{2}-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.884 |
|
| 7067 |
\begin{align*}
y^{\prime } \sqrt {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 7068 |
\begin{align*}
{y^{\prime }}^{2}&=\frac {1-x}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 7069 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 8 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| 7070 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7071 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-8 y_{2}-4 y_{3} \\
y_{2}^{\prime }&=-3 y_{1}-y_{2}-4 y_{3} \\
y_{3}^{\prime }&=y_{1}-y_{2}+9 y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -4 \\
y_{2} \left (0\right ) &= 1 \\
y_{3} \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7072 |
\begin{align*}
y^{\prime \prime }&=-4 y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7073 |
\begin{align*}
x \sqrt {x^{2}+y^{2}}-y+\left (y \sqrt {x^{2}+y^{2}}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.885 |
|
| 7074 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7075 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=-2 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7076 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&=\frac {{\mathrm e}^{t}}{t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.885 |
|
| 7077 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7078 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+5 x&=0 \\
x \left (0\right ) &= 0 \\
x \left (\frac {\pi }{4}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7079 |
\begin{align*}
x^{3} y^{\prime }-x^{3}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| 7080 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-4 x_{2}+x_{3} \\
x_{2}^{\prime }&=4 x_{1}+3 x_{2}+x_{4} \\
x_{3}^{\prime }&=3 x_{3}-4 x_{4} \\
x_{4}^{\prime }&=4 x_{3}+3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 7081 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=8 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 7082 |
\begin{align*}
x^{\prime }&=4 x-2 y \\
y^{\prime }&=5 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 7083 |
\begin{align*}
2 y^{\prime \prime }+8 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.886 |
|
| 7084 |
\begin{align*}
x^{\prime }&=y+z+{\mathrm e}^{-t} \\
y^{\prime }&=x+z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.887 |
|
| 7085 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=2 x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.887 |
|
| 7086 |
\begin{align*}
-2 y+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.887 |
|
| 7087 |
\begin{align*}
t^{2} y^{\prime \prime }+2 y^{\prime } t -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.887 |
|
| 7088 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 y^{\prime } x +\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7089 |
\begin{align*}
3 y^{\prime \prime }-2 y^{\prime }-y&=2 x -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7090 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }&=x +\sin \left (\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7091 |
\begin{align*}
\left (x +1\right ) y^{\prime }&=x^{2}-2 x +y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7092 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7093 |
\begin{align*}
4 y+y^{\prime \prime }&=3 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7094 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.888 |
|
| 7095 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.888 |
|
| 7096 |
\begin{align*}
5 y^{\prime \prime } x +\left (30+3 x \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7097 |
\begin{align*}
y^{\prime \prime }-60 y^{\prime }-900 y&=5 \,{\mathrm e}^{10 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7098 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7099 |
\begin{align*}
\left (-1+x \right ) y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7100 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }-2 y&=5 \,{\mathrm e}^{x} \cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.889 |
|