| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7401 |
\begin{align*}
y^{\prime \prime }-4 y&=3 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7402 |
\begin{align*}
-2 y-x^{3} y^{\prime }+x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7403 |
\begin{align*}
p \left (1+p \right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7404 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=\arctan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7405 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=20 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7406 |
\begin{align*}
z^{\prime \prime }+3 z^{\prime }+2 z&=24 \,{\mathrm e}^{-3 t}-24 \,{\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7407 |
\begin{align*}
\left (3 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+15 x \right ) y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.552 |
|
| 7408 |
\begin{align*}
\left (3 x +2\right ) y^{\prime \prime }+3 y^{\prime } x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7409 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7410 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=14 \sin \left (2 x \right )-18 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7411 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.552 |
|
| 7412 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7413 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7414 |
\begin{align*}
x_{1}^{\prime }&=2 x_{2} \\
x_{2}^{\prime }&=-2 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7415 |
\begin{align*}
12 y-7 y^{\prime }+y^{\prime \prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7416 |
\begin{align*}
x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+\left (1+y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.553 |
|
| 7417 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+y&=\cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7418 |
\begin{align*}
y^{\prime }-y&=x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7419 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2 x^{3}-x \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7420 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&=3 t^{2} {\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7421 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7422 |
\begin{align*}
x^{\prime }&=5 x+4 y \\
y^{\prime }&=x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7423 |
\begin{align*}
4 y+y^{\prime \prime }&=3 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7424 |
\begin{align*}
x^{\prime \prime }-3 x&=\sin \left (y \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7425 |
\begin{align*}
y^{\prime }-3 y&=13 \cos \left (2 t \right ) \\
y \left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7426 |
\begin{align*}
x^{\prime }&=5 x-6 y+1 \\
y^{\prime }&=6 x-7 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7427 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.553 |
|
| 7428 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7429 |
\begin{align*}
y^{\prime \prime }+y^{\prime } t +{\mathrm e}^{t} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7430 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7431 |
\begin{align*}
y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+9 y^{\prime \prime }&=\sin \left (3 x \right )+x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7432 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7433 |
\begin{align*}
2 y-y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7434 |
\begin{align*}
y+y^{\prime }&={\mathrm e}^{-3 t} \cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7435 |
\begin{align*}
y^{\prime }&=t^{2}-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7436 |
\begin{align*}
x^{\prime }&=x+4 y \\
y^{\prime }&=-3 x+2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7437 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=3 x \,{\mathrm e}^{6 x}-2 \,{\mathrm e}^{6 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7438 |
\begin{align*}
y^{\prime \prime }-y&=4 x \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.554 |
|
| 7439 |
\begin{align*}
\left (5+2 x \right ) y^{\prime \prime }-y^{\prime }+\left (x +5\right ) y&=0 \\
y \left (-2\right ) &= 2 \\
y^{\prime }\left (-2\right ) &= -1 \\
\end{align*} Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7440 |
\begin{align*}
x_{1}^{\prime }&=2 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 ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7441 |
\begin{align*}
4 y+y^{\prime \prime }&=3 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7442 |
\begin{align*}
{y^{\prime }}^{2}-\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7443 |
\begin{align*}
2 y y^{\prime \prime }-3 {y^{\prime }}^{2}+f \left (x \right ) y^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.555 |
|
| 7444 |
\(\left [\begin {array}{cccc} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.555 |
|
| 7445 |
\begin{align*}
-\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.555 |
|
| 7446 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7447 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=25 x^{2}+12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7448 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7449 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7450 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-10 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.555 |
|
| 7451 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{8}+4 u&=3 \cos \left (6 t \right ) \\
u \left (0\right ) &= 2 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7452 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-\frac {5 x_{2}}{2} \\
x_{2}^{\prime }&=\frac {9 x_{1}}{5}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7453 |
\begin{align*}
\left (x +3\right ) y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-\left (2-x \right ) y&=0 \\
y \left (-1\right ) &= 1 \\
y^{\prime }\left (-1\right ) &= 0 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✗ |
0.556 |
|
| 7454 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7455 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7456 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+\left (1+\frac {2}{\left (1+3 x \right )^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.556 |
|
| 7457 |
\begin{align*}
y^{\prime \prime }+\left (x -1\right )^{2} y^{\prime }-\left (x -1\right ) y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7458 |
\begin{align*}
-4 y-3 y^{\prime }+y^{\prime \prime }&=16 x -12 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7459 |
\begin{align*}
y^{\prime \prime }+4 y&=t +{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7460 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7461 |
\begin{align*}
y^{\prime \prime }+y&=8 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7462 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7463 |
\begin{align*}
x^{\prime }&=5 x+2 y \\
y^{\prime }&=-17 x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7464 |
\begin{align*}
V^{\prime \prime }+\frac {2 V^{\prime }}{r}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7465 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7466 |
\begin{align*}
y^{\prime }&=t \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7467 |
\begin{align*}
y^{\prime \prime \prime }+y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7468 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+2 y x&=x^{3}-x +3 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.556 |
|
| 7469 |
\begin{align*}
y^{\prime }+5 y&=\left \{\begin {array}{cc} -5 & 0\le t <1 \\ 5 & 1\le t \end {array}\right . \\
y \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.556 |
|
| 7470 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{1}+y_{2} \\
y_{2}^{\prime }&=-4 y_{1}+3 y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7471 |
\begin{align*}
y^{\prime \prime }+y&=\delta \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7472 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+6 y^{\prime } x +6 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7473 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{-x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.556 |
|
| 7474 |
\begin{align*}
2 y^{\prime \prime } x +3 y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7475 |
\begin{align*}
2 y^{\prime \prime } x +\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7476 |
\begin{align*}
y^{\prime \prime }+3 y&=t^{3}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7477 |
\begin{align*}
y^{\prime \prime }+2 y&=x^{2} {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7478 |
\begin{align*}
x^{\prime }&=3 x-4 y \\
y^{\prime }&=4 x-7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7479 |
\begin{align*}
5 y^{\prime \prime }+2 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7480 |
\begin{align*}
4 y+y^{\prime \prime }&=x^{2}+\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7481 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-20 y&=-2 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7482 |
\begin{align*}
x^{\prime }&=-x-2 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7483 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7484 |
\begin{align*}
x^{2} y^{\prime \prime }-2 \left (x^{2}+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.557 |
|
| 7485 |
\begin{align*}
4 y+y^{\prime \prime }&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.557 |
|
| 7486 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7487 |
\begin{align*}
y^{\prime \prime }-2 y&={\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.558 |
|
| 7488 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{2} \\
x_{2}^{\prime }&=4 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7489 |
\begin{align*}
\left (4 x^{2}+1\right ) y^{\prime \prime }-8 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7490 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-5 y y^{\prime } x +6 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7491 |
\begin{align*}
\left (-2 x^{2}+1\right ) y+4 x^{3} \left (2 x^{2}+1\right ) y^{\prime }+4 x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.558 |
|
| 7492 |
\begin{align*}
y^{\prime \prime }&=f \left (a x +b y, y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.558 |
|
| 7493 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=64 x \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7494 |
\begin{align*}
x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 y^{\prime } x&=0 \\
y \left (2\right ) &= 5 \\
y^{\prime }\left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7495 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.558 |
|
| 7496 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7497 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=20 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.558 |
|
| 7498 |
\begin{align*}
9 y^{\prime \prime }-12 y^{\prime }+4 y&=0 \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.559 |
|
| 7499 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=4 \cos \left (2 x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.559 |
|
| 7500 |
\begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.559 |
|