| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 4201 |
\begin{align*}
9 y^{\prime \prime }+6 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.530 |
|
| 4202 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+5 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.530 |
|
| 4203 |
\begin{align*}
y^{\prime \prime }+\left (-1+x \right ) y^{\prime }+y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.531 |
|
| 4204 |
\begin{align*}
\left (x^{5}+x^{4}-6 x^{3}\right ) y^{\prime \prime }+x^{2} y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.531 |
|
| 4205 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+13 y&=3 \,{\mathrm e}^{-2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.531 |
|
| 4206 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.531 |
|
| 4207 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.531 |
|
| 4208 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-3 x_{2} \\
x_{2}^{\prime }&=6 x_{1}-7 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 8 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.532 |
|
| 4209 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=30 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.532 |
|
| 4210 |
\begin{align*}
x^{\prime }&=2 x+\frac {y}{2} \\
y^{\prime }&=-\frac {x}{2}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.532 |
|
| 4211 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.532 |
|
| 4212 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4213 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4214 |
\begin{align*}
2 y_{1}^{\prime }&=y_{1}+y_{2} \\
2 y_{2}^{\prime }&=5 y_{2}-3 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 3 \\
y_{2} \left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4215 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4216 |
\begin{align*}
4 y^{\prime \prime }-12 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4217 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }&=12 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4218 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.533 |
|
| 4219 |
\begin{align*}
y^{\prime \prime }+10 y^{\prime }+16 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| 4220 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x^{2}+1\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.534 |
|
| 4221 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.534 |
|
| 4222 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }-8 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.534 |
|
| 4223 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-6 y^{\prime } x +12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.534 |
|
| 4224 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.534 |
|
| 4225 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+2 x \right ) y^{\prime }+\left (2+x \right ) y&={\mathrm e}^{x} x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.534 |
|
| 4226 |
\begin{align*}
4 x^{2} \left (x^{2}+4\right ) y^{\prime \prime }+3 x \left (3 x^{2}+8\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4227 |
\begin{align*}
y^{\prime }&=\frac {t}{\sqrt {t}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4228 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+y_{2} \\
y_{2}^{\prime }&=y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4229 |
\begin{align*}
x y^{2} y^{\prime \prime }&=\left (a -y^{2}\right ) y^{\prime }+x y {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.535 |
|
| 4230 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4231 |
\begin{align*}
\left (1+3 x \right ) y^{\prime \prime }-3 y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4232 |
\begin{align*}
x^{\prime }&=-x \\
y^{\prime }&=-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| 4233 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4234 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+2 y_{2} \\
y_{2}^{\prime }&=-4 y_{1}+5 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4235 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t +t^{2} y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4236 |
\begin{align*}
y^{\prime \prime }+t^{3} y^{\prime }+3 t^{2} y&={\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.536 |
|
| 4237 |
\begin{align*}
y^{\prime \prime }+y&=4 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4238 |
\begin{align*}
\left (-z^{2}+1\right ) y^{\prime \prime }-3 z y^{\prime }+\lambda y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.536 |
|
| 4239 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4240 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-18 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4241 |
\begin{align*}
y^{\prime \prime }-11 y^{\prime }+30 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4242 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-4 y^{\prime \prime } x +6 y^{\prime }&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4243 |
\begin{align*}
y^{\prime \prime \prime }-y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4244 |
\begin{align*}
2 y y^{\prime } x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.536 |
|
| 4245 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }&=-16 \,{\mathrm e}^{-2 x} \left (-x^{3}+x^{2}+x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4246 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }+12 y&=8 \cos \left (2 x \right )-16 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4247 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4248 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4249 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4250 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4251 |
\begin{align*}
\left (b x +a \right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4252 |
\begin{align*}
6 y^{\prime \prime }+y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4253 |
\begin{align*}
{y^{\prime }}^{2}&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4254 |
\begin{align*}
2 y^{\prime \prime }-7 y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4255 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4256 |
\begin{align*}
9 y^{\prime \prime }+12 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 4257 |
\begin{align*}
y^{\prime }&=\cos \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 4258 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x +2 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4259 |
\begin{align*}
16 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+8 x \left (9 x^{2}+1\right ) y^{\prime }+\left (49 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4260 |
\begin{align*}
y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4261 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4262 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4263 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+\left (a \,x^{3}-12\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.539 |
|
| 4264 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+3 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4265 |
\begin{align*}
\left (y^{\prime }-2 x \right ) \left (y^{\prime }-3 x^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 4266 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+y^{\prime } x -2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4267 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=2 \cos \left (t \right )^{2} {\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4268 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-y^{\prime } t +\alpha ^{2} y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4269 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4270 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4271 |
\begin{align*}
25 y^{\prime \prime }-20 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 4272 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+\left (x -2\right ) y^{\prime }+\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 4273 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=18 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 4274 |
\begin{align*}
{y^{\prime }}^{2}+a y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 4275 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 4276 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4277 |
\begin{align*}
3 x^{2} \left (x^{2}+3\right ) y^{\prime \prime }+x \left (11 x^{2}+3\right ) y^{\prime }+\left (5 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4278 |
\begin{align*}
y^{\prime \prime }+y&=6 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4279 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-15 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4280 |
\(\left [\begin {array}{cc} 1 & 2 \\ 3 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.542 |
|
| 4281 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-12 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4282 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=2 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4283 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4284 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4285 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\left (2+x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.542 |
|
| 4286 |
\begin{align*}
y^{\left (5\right )}+y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 4287 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=t +\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 4288 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.543 |
|
| 4289 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=4 x^{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 4290 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}+2 x_{2} \\
x_{2}^{\prime }&=x_{2}-x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 4291 |
\begin{align*}
\left (2 x^{2}+4 x +5\right ) y^{\prime \prime }-20 \left (x +1\right ) y^{\prime }+60 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.543 |
|
| 4292 |
\begin{align*}
y^{\prime }&=\frac {-2 x -10}{\left (2+x \right ) \left (x -4\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 4293 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 0 \\
y^{\prime \prime }\left (\pi \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 4294 |
\begin{align*}
y^{\prime \prime } x +\left (1-2 x \right ) y^{\prime }+\left (-1+x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.543 |
|
| 4295 |
\begin{align*}
x^{\prime }&=-3 x-4 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 4296 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}+2 y_{2} \\
y_{2}^{\prime }&=-5 y_{1}+5 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 4297 |
\begin{align*}
y^{\prime }+2 y&=4 t \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 4298 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 4299 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.544 |
|
| 4300 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|