| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6001 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-5 y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6002 |
\begin{align*}
y^{\prime \prime \prime }-27 y&={\mathrm e}^{-3 t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 3 \\
y^{\prime \prime }\left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6003 |
\begin{align*}
y^{\prime }-y \,{\mathrm e}^{x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6004 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+x y y^{\prime }-6 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6005 |
\begin{align*}
x^{4} y^{\prime \prime \prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6006 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-5 y&=20 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6007 |
\begin{align*}
y^{\prime \prime }+y&=4 \sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.464 |
|
| 6008 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6009 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=4 x_{1}-2 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6010 |
\begin{align*}
x^{\prime }&=6 x-3 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6011 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6012 |
\begin{align*}
x^{\prime }&=-4 x-y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6013 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-\left (x +a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6014 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=8 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6015 |
\begin{align*}
\left (-x +3\right ) y^{\prime \prime }-\left (9-4 x \right ) y^{\prime }+\left (6-3 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.465 |
|
| 6016 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=4 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6017 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6018 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| 6019 |
\begin{align*}
x^{2} \left (2 y y^{\prime \prime }-{y^{\prime }}^{2}\right )&=1-2 x y y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.465 |
|
| 6020 |
\begin{align*}
4 x^{\prime \prime }+20 x^{\prime }+169 x&=0 \\
x \left (0\right ) &= 4 \\
x^{\prime }\left (0\right ) &= 16 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6021 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=2 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6022 |
\begin{align*}
y_{1}^{\prime }&=15 y_{1}-9 y_{2} \\
y_{2}^{\prime }&=16 y_{1}-9 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 5 \\
y_{2} \left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6023 |
\begin{align*}
y&=x y^{\prime }+2 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6024 |
\begin{align*}
y&=x y^{\prime }-2 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6025 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}+\left (b x +a y\right ) y^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.466 |
|
| 6026 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime \prime }-12 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6027 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+\frac {y}{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6028 |
\begin{align*}
y^{\prime }&=a t y+q \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.466 |
|
| 6029 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6030 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}-x_{2} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6031 |
\begin{align*}
y^{\prime } y^{\prime \prime \prime }&={y^{\prime \prime }}^{2}+y^{\prime \prime } {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| 6032 |
\begin{align*}
x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.466 |
|
| 6033 |
\begin{align*}
x_{1}^{\prime }&=-\frac {x_{1}}{10}+\frac {3 x_{2}}{40} \\
x_{2}^{\prime }&=\frac {x_{1}}{10}-\frac {x_{2}}{5} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -17 \\
x_{2} \left (0\right ) &= -21 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6034 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-8 x y^{\prime }-12 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6035 |
\begin{align*}
\left (-x^{6}+1\right ) y^{\prime \prime }-12 x^{5} y^{\prime }-30 x^{4} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6036 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6037 |
\begin{align*}
y^{\prime \prime }+y&=4 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6038 |
\begin{align*}
y^{\prime }+4 y&=1 \\
y \left (0\right ) &= {\frac {5}{4}} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6039 |
\begin{align*}
x^{2} \left (y^{\prime }+y^{2}\right )+a \,x^{k}-b \left (b -1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.467 |
|
| 6040 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-5 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6041 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+10 y&=6 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6042 |
\begin{align*}
\left (x +1\right ) y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6043 |
\begin{align*}
\left (x +2\right )^{2} y^{\prime \prime }+\left (x +2\right ) y^{\prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.467 |
|
| 6044 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x +4\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.467 |
|
| 6045 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+8 y&=\sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6046 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6047 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6048 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6049 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6050 |
\begin{align*}
y^{\prime \prime }-y&=4 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6051 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6052 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6053 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-10 x_{2} \\
x_{2}^{\prime }&=-x_{1}-x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -3 \\
x_{2} \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6054 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=\sin \left (x \right )+x \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| 6055 |
\begin{align*}
y^{\prime \prime }+16 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6056 |
\begin{align*}
y^{\prime \prime }+\left (x -3\right ) y^{\prime }+3 y&=0 \\
y \left (3\right ) &= -2 \\
y^{\prime }\left (3\right ) &= 3 \\
\end{align*}
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6057 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }+\left (2 x^{2}+3\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6058 |
\begin{align*}
4 y^{\prime \prime }+x y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6059 |
\begin{align*}
\sin \left (y^{\prime }\right )+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.468 |
|
| 6060 |
\begin{align*}
a^{2} y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6061 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6062 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= {\frac {1}{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6063 |
\begin{align*}
y^{\prime }+\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6064 |
\begin{align*}
x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+2 x \left (x^{2}+5\right ) y^{\prime }+2 \left (-x^{2}+3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.468 |
|
| 6065 |
\(\left [\begin {array}{cc} 3 & -5 \\ -4 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.468 |
|
| 6066 |
\begin{align*}
y^{\prime \prime }+12 y&=7 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6067 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=-2 y+z \\
z^{\prime }&=-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6068 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=-4 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6069 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+13 y&=3 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6070 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6071 |
\begin{align*}
y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }-2 y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.468 |
|
| 6072 |
\begin{align*}
-4 y^{\prime }+y^{\prime \prime \prime }&=x \,{\mathrm e}^{2 x}+\sin \left (x \right )+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| 6073 |
\begin{align*}
2 y^{\prime \prime }+4 y^{\prime }+7 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6074 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6075 |
\begin{align*}
x^{\prime }-4 x+3 y&=\sin \left (t \right ) \\
2 x+y^{\prime }-y&=2 \cos \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= x_{0} \\
y \left (0\right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6076 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=6 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6077 |
\begin{align*}
2 y^{\prime \prime }+2 y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6078 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6079 |
\begin{align*}
x \left (-x^{2}+2\right ) y^{\prime \prime }-\left (x^{2}+4 x +2\right ) \left (\left (1-x \right ) y^{\prime }+y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.469 |
|
| 6080 |
\begin{align*}
y^{2} y^{\prime \prime }&=8 x^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.469 |
|
| 6081 |
\begin{align*}
y^{\prime \prime }-4 y&=2 \sin \left (\frac {x}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6082 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=2 \cos \left (t \right )+\sin \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6083 |
\begin{align*}
y^{\prime }&=-\sin \left (t \right )+\delta \left (t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6084 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.469 |
|
| 6085 |
\begin{align*}
{y^{\prime }}^{2} x +x y y^{\prime \prime }&=2 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.469 |
|
| 6086 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-5 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6087 |
\begin{align*}
m x^{\prime \prime }+k x&=F_{0} \cos \left (\omega t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6088 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }+2 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6089 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y t&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6090 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6091 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6092 |
\begin{align*}
4 y^{\prime \prime }+40 y^{\prime }+101 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6093 |
\begin{align*}
-2 y+y^{\prime }&=t^{3} \\
y \left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6094 |
\begin{align*}
2 n y-2 x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6095 |
\begin{align*}
z^{\prime }+2 y^{\prime }+3 y&=0 \\
y^{\prime }+3 y-2 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6096 |
\begin{align*}
y^{\prime }+3 y+z&=0 \\
z^{\prime }+3 y+5 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6097 |
\begin{align*}
y^{\prime \prime }+9 y&=5 \cos \left (2 t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6098 |
\begin{align*}
2 y x +y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6099 |
\begin{align*}
y^{\prime }-5 y&=0 \\
y \left (\pi \right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.470 |
|
| 6100 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+5 x&=3 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.470 |
|