| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6501 |
\begin{align*}
y^{\prime \prime }+y&=1-\frac {1}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 6502 |
\begin{align*}
x^{2} y^{\prime \prime }&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 6503 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=5+10 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 6504 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=9 x \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 6505 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.420 |
|
| 6506 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-8 y^{\prime } x +20 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6507 |
\begin{align*}
y^{\prime \prime }+y^{\prime } t +y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6508 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6509 |
\begin{align*}
x_{1}^{\prime }&=3 x_{2} \\
x_{2}^{\prime }&=-3 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6510 |
\begin{align*}
\left (x^{2}+2\right ) y^{\prime \prime }+3 y^{\prime } x -y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6511 |
\begin{align*}
x^{\prime }&=5 x+4 y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6512 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=t^{3} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6513 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -{\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6514 |
\begin{align*}
y^{\prime \prime }+9 y&=54 x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6515 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6516 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=3 x-4 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6517 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6518 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-4 x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -5 \\
x_{2} \left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6519 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=6 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6520 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6521 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 6522 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {4}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.422 |
|
| 6523 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}+2\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6524 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }+7 y^{\prime } x +2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6525 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +30 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= {\frac {15}{8}} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6526 |
\begin{align*}
y^{\prime \prime }-3 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6527 |
\begin{align*}
y^{\prime \prime }+y&=\frac {2}{\sin \left (x \right )^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6528 |
\begin{align*}
y^{\prime \prime }+9 y&=t^{2} {\mathrm e}^{3 t}+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6529 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6530 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 y^{\prime } x -8 y&=4 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6531 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6532 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 6533 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-5 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6534 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6535 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-5 y&=1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6536 |
\begin{align*}
y^{\prime \prime }+d +b x y+c y+a y^{3}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.423 |
|
| 6537 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x}-3 x^{2} \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6538 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-8 y&=32 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6539 |
\begin{align*}
v^{\prime \prime }+\frac {2 v^{\prime }}{r}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6540 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6541 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=4-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6542 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime } x y \left (x +y\right )+x^{3} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 6543 |
\begin{align*}
y y^{\prime \prime }&=6 x^{4} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.424 |
|
| 6544 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (1-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.424 |
|
| 6545 |
\begin{align*}
3 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-10 y^{\prime } x +10 y&=\frac {4}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6546 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6547 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -{\frac {17}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6548 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6549 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 x +4 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6550 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-18 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-9 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6551 |
\begin{align*}
\left (3 x^{2}-y^{2}\right ) y^{\prime }-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.424 |
|
| 6552 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6553 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6554 |
\begin{align*}
y^{\prime }&=\frac {1}{x -1} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6555 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6556 |
\begin{align*}
x^{\prime }&=3 x \\
y^{\prime }&=x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6557 |
\begin{align*}
{y^{\prime }}^{2}-\left (2 x +y\right ) y^{\prime }+x^{2}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6558 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=3 x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6559 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6560 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6561 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 6562 |
\begin{align*}
16 x^{4} y^{\prime \prime \prime \prime }+96 x^{3} y^{\prime \prime \prime }+72 x^{2} y^{\prime \prime }-24 y^{\prime } x +9 y&=96 x^{{5}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6563 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=4 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6564 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2} \\
x_{2}^{\prime }&=2 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6565 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}+2 x_{2} \\
x_{2}^{\prime }&=x_{2}-x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6566 |
\begin{align*}
x \sqrt {x^{2}+y^{2}}-\frac {x^{2} y y^{\prime }}{y-\sqrt {x^{2}+y^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.425 |
|
| 6567 |
\begin{align*}
y^{\prime \prime }+y&=4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6568 |
\begin{align*}
y^{\prime \prime }+y&=x^{2}+x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6569 |
\begin{align*}
\left (3 x -1\right )^{2} y^{\prime \prime }+3 \left (3 x -1\right ) y^{\prime }-9 y-\ln \left (3 x -1\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.425 |
|
| 6570 |
\begin{align*}
x^{\prime }&=-x+2 y \\
y^{\prime }&=2 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6571 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6572 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6573 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=3 \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6574 |
\begin{align*}
4 y+y^{\prime \prime }&=3 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 6575 |
\begin{align*}
y {y^{\prime }}^{2}-\left (y x +x +y^{2}\right ) y^{\prime }+x^{2}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.425 |
|
| 6576 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6577 |
\begin{align*}
-\left (3+2 x \right ) y+\left (x^{2}+x +1\right ) y^{\prime }+\left (x^{2}+3 x +4\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.426 |
|
| 6578 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6579 |
\begin{align*}
y^{\prime \prime }+3 x^{2} y^{\prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6580 |
\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 2 & -2 & -1 \\ -2 & 6 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.426 |
|
| 6581 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=3 \delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6582 |
\begin{align*}
y^{\prime \prime }-3 x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6583 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=2 x +{\mathrm e}^{-x}-2 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6584 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6585 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6586 |
\begin{align*}
w^{\prime }+y&=\sin \left (t \right ) \\
y^{\prime }-z&={\mathrm e}^{t} \\
w+y+z^{\prime }&=1 \\
\end{align*} With initial conditions \begin{align*}
w \left (0\right ) &= 0 \\
z \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.426 |
|
| 6587 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6588 |
\begin{align*}
y^{\prime \prime }+9 y&=36 t \sin \left (3 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6589 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 6590 |
\begin{align*}
u^{\prime \prime }-u^{\prime }+2 u&=0 \\
u \left (0\right ) &= 2 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6591 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6592 |
\begin{align*}
y^{\prime \prime }&=\sin \left (y\right ) \\
y \left (0\right ) &= \frac {\pi }{4} \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.427 |
|
| 6593 |
\begin{align*}
y^{\prime \prime }+2 y&={\mathrm e}^{x}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 6594 |
\begin{align*}
6 y-2 y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.427 |
|
| 6595 |
\begin{align*}
-y-3 y^{\prime } x +\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
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✓ |
✓ |
✗ |
0.427 |
|
| 6596 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*} |
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✓ |
✓ |
✓ |
0.427 |
|
| 6597 |
\begin{align*}
y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y&=3 \,{\mathrm e}^{x} x^{2}-7 \,{\mathrm e}^{x} \\
\end{align*} |
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✓ |
0.427 |
|
| 6598 |
\begin{align*}
z^{\prime }+7 y-3 z&=0 \\
7 y^{\prime }+63 y-36 z&=0 \\
\end{align*} |
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✓ |
0.427 |
|
| 6599 |
\begin{align*}
x^{\prime }-7 x+y&=0 \\
y^{\prime }-2 x-5 y&=0 \\
\end{align*} |
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✓ |
✓ |
✓ |
0.427 |
|
| 6600 |
\begin{align*}
2 x^{4} y^{\prime \prime \prime \prime }+3 x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 y^{\prime } x -8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|