| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9001 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.453 |
|
| 9002 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.453 |
|
| 9003 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.453 |
|
| 9004 |
\begin{align*}
y^{\prime \prime }-4 y&=2-8 t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.453 |
|
| 9005 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=1+x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9006 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }-\left (1-2 x \right ) y^{\prime }-\left (3-2 x \right ) y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= -2 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9007 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9008 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x -8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9009 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (-x +3\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9010 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9011 |
\begin{align*}
3 \left (-x +2\right ) y-\left (9-4 x \right ) y^{\prime }+\left (-x +3\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.454 |
|
| 9012 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9013 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9014 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9015 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9016 |
\begin{align*}
16 \left (x +1\right )^{2} y^{\prime \prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.454 |
|
| 9017 |
\begin{align*}
y^{\prime \prime }-4 y&=3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9018 | \begin{align*}
4 x^{2} y^{\prime \prime }+4 x^{2} \ln \left (x \right ) y^{\prime }+\left (\ln \left (x \right )^{2} x^{2}+2 x -8\right ) y-4 x^{2} \sqrt {{\mathrm e}^{x} x^{-x}}&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 0.454 |
|
| 9019 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{8}+x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9020 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9021 |
\begin{align*}
x^{\prime }&=8 x+14 y \\
y^{\prime }&=7 x+y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9022 |
\begin{align*}
c v^{\prime \prime }+\frac {v^{\prime }}{r}+\frac {v}{L}&=\delta \left (-1+t \right )-\delta \left (t \right ) \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9023 |
\begin{align*}
y^{\prime \prime }+4 y&=-3 t^{2}+2 t +3 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9024 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=2 t +{\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9025 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9026 |
\begin{align*}
\left (2 x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9027 |
\begin{align*}
x^{\prime }&=-x-2 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9028 |
\begin{align*}
y^{\prime \prime }+25 y&=\cos \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9029 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=1+8 \cos \left (x \right )+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9030 |
\begin{align*}
x^{\prime }&=2 x+3 y \\
y^{\prime }&=-3 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9031 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=x^{2}+2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9032 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{x} \\
z^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.454 |
|
| 9033 |
\begin{align*}
5 {y^{\prime }}^{2}+3 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.454 |
|
| 9034 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9035 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-5 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9036 |
\begin{align*}
x_{1}^{\prime }&=-\frac {x_{1}}{2}-\frac {x_{2}}{8} \\
x_{2}^{\prime }&=2 x_{1}-\frac {x_{2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9037 | \begin{align*}
\left (x^{2}+3 x +3\right ) y^{\prime \prime }+\left (6+4 x \right ) y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 7 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} Series expansion around \(x=0\). | ✓ | ✓ | ✓ | ✓ | 0.455 |
|
| 9038 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-x}}{\sqrt {-x^{2}+4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9039 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (5 x -4\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (9 x -6\right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.455 |
|
| 9040 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2 x^{3}-x \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9041 |
\begin{align*}
x^{\prime }&=x-2 \operatorname {Heaviside}\left (-1+t \right ) \\
x \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9042 |
\begin{align*}
x^{\prime }&=5 x+4 y \\
y^{\prime }&=9 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9043 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{-t}-4 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9044 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9045 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+16 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9046 |
\begin{align*}
y^{\prime \prime } y^{\prime \prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.455 |
|
| 9047 |
\begin{align*}
x^{\prime }-7 x+y&=0 \\
y^{\prime }-2 x-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9048 |
\begin{align*}
y^{\prime \prime }-y&=\frac {2}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9049 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9050 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&={\mathrm e}^{-3 t} \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.455 |
|
| 9051 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {4}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.456 |
|
| 9052 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}+9 x_{2} \\
x_{2}^{\prime }&=-2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.456 |
|
| 9053 |
\begin{align*}
y^{\prime \prime \prime }-8 y&={\mathrm e}^{i x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.456 |
|
| 9054 |
\begin{align*}
a^{2} y {y^{\prime }}^{2}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.456 |
|
| 9055 |
\begin{align*}
y^{\prime \prime }+y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.456 |
|
| 9056 | \begin{align*}
y^{\prime \prime }+y&=3 \cos \left (t w \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.456 |
|
| 9057 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+9 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9058 |
\begin{align*}
\left (x^{2}+4 x +4\right ) y^{\prime \prime }+\left (4 x +8\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9059 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-2 x_{2} \\
x_{2}^{\prime }&=5 x_{1}-5 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9060 |
\begin{align*}
x_{1}^{\prime }&=x_{2}-x_{1} \\
x_{2}^{\prime }&=-2 x_{1}-3 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{1}+x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9061 |
\begin{align*}
y \left (6 y^{2}-x -1\right )+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9062 |
\begin{align*}
{y^{\prime }}^{3}-a x y y^{\prime }+2 a y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9063 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{x}-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9064 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9065 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+3 y&=x^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9066 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9067 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9068 |
\begin{align*}
2 t y^{\prime \prime }+\left (t +1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9069 |
\begin{align*}
2 x^{2} y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }+\frac {\left (2 x -1\right ) y}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9070 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a \,x^{2}+a -3\right ) y}{4 \left (x^{2}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9071 |
\begin{align*}
y y^{\prime \prime }-\frac {\left (a -1\right ) {y^{\prime }}^{2}}{a}-f \left (x \right ) y^{2} y^{\prime }+\frac {a f \left (x \right )^{2} y^{4}}{\left (2+a \right )^{2}}-\frac {a f^{\prime }\left (x \right ) y^{3}}{2+a}&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.457 |
|
| 9072 |
\begin{align*}
y&=5 y^{\prime } x -{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9073 |
\begin{align*}
y^{\prime \prime \prime }&={y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9074 |
\begin{align*}
x^{\prime }&=1 \\
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9075 | \begin{align*}
y^{\prime \prime }+y&=6 \cos \left (2 x \right )-3 \sin \left (2 x \right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.457 |
|
| 9076 |
\begin{align*}
\left (x -5\right )^{2} y^{\prime \prime }+\left (x -5\right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9077 |
\begin{align*}
\left (2 x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -3 y&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9078 |
\begin{align*}
y^{\prime \prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9079 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9080 |
\begin{align*}
y^{\prime \prime }-y&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9081 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-2 \left (x +3\right ) y^{\prime }+\left (x +5\right ) y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9082 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=5 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9083 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9084 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-4 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9085 |
\begin{align*}
{y^{\prime }}^{2}-3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| 9086 |
\begin{align*}
4 x^{5} {y^{\prime }}^{2}+12 x^{4} y y^{\prime }+9&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.457 |
|
| 9087 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{-x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9088 |
\begin{align*}
5 u^{\prime \prime }+2 u^{\prime }+7 u&=0 \\
u \left (0\right ) &= 2 \\
u^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9089 |
\begin{align*}
2 y^{\prime \prime } x +2 y^{\prime }+2 y&=\sin \left (\sqrt {x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.458 |
|
| 9090 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9091 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )+4 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9092 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (a +b \right ) y^{\prime }}{x^{2}}-\frac {\left (\left (a +b \right ) x +a b \right ) y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.458 |
|
| 9093 |
\begin{align*}
y^{\prime \prime }&=-\frac {b y}{x^{2} \left (x -a \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.458 |
|
| 9094 | \begin{align*}
x^{\prime }&=a x \\
y^{\prime }&=b \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.458 |
|
| 9095 |
\(\left [\begin {array}{ccc} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.458 |
|
| 9096 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=2 y-z \\
z^{\prime }&=-y+2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9097 |
\begin{align*}
y^{\prime \prime }+9 y&=25 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9098 |
\begin{align*}
x^{\prime }&=-3 x+6 y \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9099 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }-9 y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| 9100 |
\begin{align*}
y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\left (n^{2}+\frac {2}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.458 |
|