| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6301 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6302 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+2 y&=t \,{\mathrm e}^{3 t}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6303 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6304 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6305 |
\begin{align*}
y^{\prime \prime }-2 x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6306 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6307 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=x^{2}+2 x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6308 |
\begin{align*}
y y^{\prime \prime }-a \,x^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.408 |
|
| 6309 |
\begin{align*}
y^{\prime \prime }-a \,x^{n} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.408 |
|
| 6310 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y&=4+{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6311 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+4 x&={\mathrm e}^{t}+{\mathrm e}^{2 t}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6312 |
\begin{align*}
\left (x^{2}-1\right )^{2} y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6313 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }&=x +\cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
y^{\prime \prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6314 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+54 y^{\prime } x +42 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 0 \\
y^{\prime \prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6315 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=2 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6316 |
\begin{align*}
x^{\prime }&=-\frac {3 x}{4}-\frac {7 y}{4} \\
y^{\prime }&=\frac {x}{4}+\frac {5 y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6317 |
\begin{align*}
y^{\prime \prime }&=2 y {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.408 |
|
| 6318 |
\begin{align*}
2 y-y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6319 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6320 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=15 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6321 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=1 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6322 |
\begin{align*}
y^{\prime }&=\sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| 6323 |
\begin{align*}
\left (-x^{2}+2 x \right ) y^{\prime \prime }-6 \left (x -1\right ) y^{\prime }-4 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6324 |
\begin{align*}
a \,{\mathrm e}^{-1+y}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.409 |
|
| 6325 |
\begin{align*}
{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6326 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.409 |
|
| 6327 |
\begin{align*}
a y y^{\prime \prime }+b {y^{\prime }}^{2}-\frac {y y^{\prime }}{\sqrt {c^{2}+x^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.409 |
|
| 6328 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=2 \,{\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6329 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+16 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6330 |
\begin{align*}
y^{\prime \prime }+9 y&=52 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6331 |
\begin{align*}
y^{\prime \prime }+4 y&=20 \,{\mathrm e}^{4 t} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 12 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6332 |
\begin{align*}
y^{\prime \prime }+9 y&=27 t^{3} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6333 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime } x -8 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6334 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=10 \sin \left (x \right )+17 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6335 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6336 |
\begin{align*}
x^{\prime }-k^{2} x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6337 |
\begin{align*}
y^{\prime \prime }+y&=\delta \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.409 |
|
| 6338 |
\begin{align*}
y_{1}^{\prime }&=-3 y_{1}-4 y_{2} \\
y_{2}^{\prime }&=y_{1}-7 y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 2 \\
y_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6339 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +p^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6340 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+2 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2+3 \sqrt {2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6341 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6342 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6343 |
\begin{align*}
x^{\prime }&=1 \\
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6344 |
\begin{align*}
y^{\prime }&=20 \,{\mathrm e}^{-4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6345 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6346 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6347 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+4 y&=2 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6348 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6349 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-x +2\right ) y^{\prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.410 |
|
| 6350 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.410 |
|
| 6351 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6352 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{-x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6353 |
\begin{align*}
\left (x -2\right )^{3} y^{\prime \prime }+3 \left (x -2\right )^{2} y^{\prime }+x^{3} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6354 |
\begin{align*}
x^{\prime }&=y+z \\
y^{\prime }&=x+z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6355 |
\begin{align*}
y^{\prime \prime }+x^{5} y^{\prime }+6 x^{4} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6356 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=x^{3} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6357 |
\begin{align*}
y^{\prime \prime }-y&=3 x +5 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6358 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=2 t^{2}+1 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6359 |
\begin{align*}
a y \left (1-y^{n}\right )+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.411 |
|
| 6360 |
\begin{align*}
x -2 y x +{\mathrm e}^{y}+\left (x \,{\mathrm e}^{y}+y-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.411 |
|
| 6361 |
\begin{align*}
-\frac {\sin \left (\frac {x}{y}\right )}{y}+\frac {x \sin \left (\frac {x}{y}\right ) y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6362 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6363 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+y&=3 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6364 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6365 |
\begin{align*}
-y+y^{\prime }&=1+{\mathrm e}^{t} t \\
y \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6366 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+40 y&=122 \,{\mathrm e}^{-3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6367 |
\begin{align*}
x^{\prime }&=2 x-5 y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6368 |
\begin{align*}
{y^{\prime }}^{3}-\left (x^{2}+y x +y^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6369 |
\begin{align*}
{y^{\prime }}^{3}-4 y y^{\prime } x +8 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.411 |
|
| 6370 |
\begin{align*}
x^{\prime }&=8 x-y \\
y^{\prime }&=4 x+12 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6371 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-63 y&=0 \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6372 |
\begin{align*}
y^{\prime \prime }+\frac {327 y^{\prime }}{100}-\frac {21 y}{50}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6373 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{3}-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6374 |
\begin{align*}
\left (t -1\right ) y^{\prime \prime }-y^{\prime } t +y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.411 |
|
| 6375 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }-\left (x^{2}+2 x -1\right ) y&=\left (x +1\right )^{3} {\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.412 |
|
| 6376 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+4 y&=t^{2} {\mathrm e}^{7 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6377 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{-2 x}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6378 |
\begin{align*}
y^{\prime \prime }+y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6379 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.412 |
|
| 6380 |
\(\left [\begin {array}{ccc} 7 & -8 & 3 \\ 6 & -7 & 3 \\ 2 & -2 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.412 |
|
| 6381 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.412 |
|
| 6382 |
\(\left [\begin {array}{ccc} 3 & 1 & -1 \\ 1 & 3 & -1 \\ 3 & 3 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.412 |
|
| 6383 |
\begin{align*}
x^{\prime }&=-x-4 y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6384 |
\begin{align*}
x \left (-x^{2}+1\right )^{2} y^{\prime \prime }+\left (-x^{2}+1\right ) \left (3 x^{2}+1\right ) y^{\prime }+4 x \left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.412 |
|
| 6385 |
\begin{align*}
y^{\prime \prime }-\left (a +b \right ) y^{\prime }+a b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6386 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (\omega t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.412 |
|
| 6387 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6388 |
\begin{align*}
\left (-x^{2}+3\right ) y^{\prime \prime }-3 y^{\prime } x -y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6389 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=2 y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6390 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6391 |
\begin{align*}
-b \left (b \,x^{2}+a \right ) y+a y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.413 |
|
| 6392 |
\begin{align*}
6 y-4 \left (a +x \right ) y^{\prime }+\left (\operatorname {a0} +x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.413 |
|
| 6393 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=5 \,{\mathrm e}^{3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6394 |
\(\left [\begin {array}{cccc} 1 & 0 & 4 & 0 \\ 0 & 1 & 4 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.413 |
|
| 6395 |
\(\left [\begin {array}{ccc} 6 & -5 & 2 \\ 4 & -3 & 2 \\ 2 & -2 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.413 |
|
| 6396 |
\begin{align*}
x^{\prime }&=2 x \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6397 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{-7 x}+2 \,{\mathrm e}^{-7 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6398 |
\begin{align*}
y^{\prime \prime }-y&=2 t -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.413 |
|
| 6399 |
\begin{align*}
4 y+y^{\prime \prime }&=3 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.414 |
|
| 6400 |
\begin{align*}
y^{\prime }&={\mathrm e}^{2 t} t \\
y \left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.414 |
|