| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8401 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8402 |
\begin{align*}
y^{\prime } y+x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.421 |
|
| 8403 |
\begin{align*}
y^{\prime \prime }-x^{2} y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8404 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (-x +2\right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8405 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8406 |
\begin{align*}
\left (-x^{2}+4\right ) y^{\prime \prime }+y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.421 |
|
| 8407 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+29 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8408 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8409 |
\begin{align*}
x V^{\prime }&=x^{2}+1 \\
V \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8410 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8411 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&=3 t^{2} {\mathrm e}^{-4 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8412 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.421 |
|
| 8413 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8414 |
\begin{align*}
\sqrt {1+v^{\prime }}&=\frac {{\mathrm e}^{u}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8415 |
\begin{align*}
y^{\prime \prime }+2 \,{\mathrm e}^{x} y^{\prime }+2 \,{\mathrm e}^{x} y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.421 |
|
| 8416 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+8 y^{\prime } x +2 y&=x^{2}+3 x -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8417 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.421 |
|
| 8418 | \begin{align*}
x^{\prime }+3 x-6 y&=0 \\
y^{\prime }&=x-3 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 2 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.421 |
|
| 8419 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8420 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8421 |
\begin{align*}
y^{\prime \prime }+25 y&=\cos \left (\omega t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8422 |
\begin{align*}
y^{\prime \prime }-9 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8423 |
\begin{align*}
x^{\prime }&=a x+b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8424 |
\begin{align*}
x^{\prime }&=-3 y \\
y^{\prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8425 |
\begin{align*}
y^{\prime \prime }&=2 y^{\prime }-5 y+30 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8426 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8427 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+20 y&={\mathrm e}^{4 x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8428 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +\lambda y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8429 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\sec \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8430 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8431 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8432 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}-2 y_{2} \\
y_{2}^{\prime }&=4 y_{1}-y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.422 |
|
| 8433 |
\begin{align*}
b y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8434 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8435 |
\begin{align*}
-\left (2 x +3\right ) y+\left (x^{2}+x +1\right ) y^{\prime }+\left (x^{2}+3 x +4\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.423 |
|
| 8436 |
\begin{align*}
y&=x {y^{\prime }}^{2}+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8437 | \begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&={\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.423 |
|
| 8438 |
\begin{align*}
y^{\prime }&=t \sin \left (t^{2}\right ) \\
y \left (\sqrt {\pi }\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8439 |
\begin{align*}
y^{\prime } x&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.423 |
|
| 8440 |
\begin{align*}
x^{\prime \prime }-x&={\mathrm e}^{2 t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8441 |
\begin{align*}
y^{\prime \prime }-y&=\frac {2 \,{\mathrm e}^{-x}}{\left (1+{\mathrm e}^{-2 x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.423 |
|
| 8442 |
\begin{align*}
y^{\prime }-2 y-v^{\prime }-v&=6 \,{\mathrm e}^{3 x} \\
2 y^{\prime }-3 y+v^{\prime }-3 v&=6 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.423 |
|
| 8443 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8444 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+4 x_{2} \\
x_{2}^{\prime }&=3 x_{1}+2 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8445 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+t^{2} y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8446 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8447 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.424 |
|
| 8448 |
\begin{align*}
\left (2 x^{2}+6 x +4\right ) y^{\prime \prime }+\left (10 x^{2}+21 x +8\right ) y^{\prime }+\left (12 x^{2}+17 x +8\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.424 |
|
| 8449 |
\begin{align*}
9 y^{\prime \prime }+6 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8450 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (3 x +2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8451 |
\begin{align*}
x^{\prime }&=x+20 y \\
y^{\prime }&=40 x-19 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8452 |
\begin{align*}
\left (y^{2}-4\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8453 |
\begin{align*}
x^{\prime }&=-x+a y \\
y^{\prime }&=-x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8454 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+4 y&={\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8455 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +\left (2 x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8456 | \begin{align*}
y^{\prime \prime }-3 y&=\cos \left (x \right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.424 |
|
| 8457 |
\begin{align*}
y^{\prime }&=y+z+x \\
z^{\prime }&=1-y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.424 |
|
| 8458 |
\begin{align*}
y^{\prime \prime }+y&=3 x \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8459 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=2 x-y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8460 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (1-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.425 |
|
| 8461 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime }+a \left (x -y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8462 |
\begin{align*}
-2 \left (1-x \right ) y+2 \left (-x +3\right ) x \left (x +1\right ) y^{\prime }+\left (1-x \right ) x \left (x +1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.425 |
|
| 8463 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }-6 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8464 |
\begin{align*}
a y y^{\prime }-2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.425 |
|
| 8465 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8466 |
\begin{align*}
y^{\prime \prime }+y&=1-\frac {1}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8467 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=5 x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 7 \\
y \left (0\right ) &= -7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8468 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\left (5 x +4\right ) {\mathrm e}^{x}+{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8469 |
\begin{align*}
x^{\prime }&=4 x+2 y \\
y^{\prime }&=3 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.425 |
|
| 8470 |
\begin{align*}
\left (-2 x^{2}+1\right ) y^{\prime \prime }+\left (2-6 x \right ) y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8471 |
\begin{align*}
{y^{\prime }}^{3}-{y^{\prime }}^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8472 |
\begin{align*}
x^{2} y^{\prime \prime }&=\left (3 x -2 y^{\prime }\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8473 |
\begin{align*}
x^{\prime }&=a x+b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8474 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+37 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8475 | \begin{align*}
y^{\prime \prime }-2 y^{\prime } x -4 y&=0 \\
\end{align*} Series expansion around \(x=0\). | ✓ | ✓ | ✓ | ✓ | 0.426 |
|
| 8476 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\pi ^{2}-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8477 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+8 y^{\prime } x +2 y&=x^{2}+3 x -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8478 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8479 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-4 x^{3}+x \right ) y^{\prime }-x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.426 |
|
| 8480 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8481 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8482 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8483 |
\begin{align*}
\left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+8 x \right ) y^{\prime }+4 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8484 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8485 |
\begin{align*}
y y^{\prime \prime }&={\mathrm e}^{x} y \left (\operatorname {a0} +\operatorname {a1} y^{2}\right )+{\mathrm e}^{2 x} \left (\operatorname {a2} +\operatorname {a3} y^{4}\right )+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.427 |
|
| 8486 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+17 y&=60 \,{\mathrm e}^{-4 x} \sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8487 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+5 y&=40 \,{\mathrm e}^{-\frac {3 x}{2}} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8488 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8489 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+10 y&=5 \,{\mathrm e}^{-2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8490 |
\begin{align*}
x^{\prime }&=-2 x+7 y \\
y^{\prime }&=3 x+2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 9 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8491 |
\begin{align*}
x^{\prime }&=-x-2 y \\
y^{\prime }&=x-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8492 |
\begin{align*}
x^{\prime }&=3 x \\
y^{\prime }&=x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8493 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8494 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8495 | \begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=-12 x +8 \\
y \left (1\right ) &= -2 \\
y^{\prime }\left (1\right ) &= 4 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 0.427 |
|
| 8496 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=-12 x +8 \\
y \left (-1\right ) &= 1 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.427 |
|
| 8497 |
\begin{align*}
y^{\prime }&=y^{2} \left (y^{2}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 8498 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+\left (2+x \right ) y^{\prime }+y&=0 \\
y \left (-1\right ) &= -2 \\
y^{\prime }\left (-1\right ) &= 3 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 8499 |
\begin{align*}
\left (10-2 x \right ) y^{\prime \prime }+\left (x +1\right ) y&=0 \\
y \left (2\right ) &= 2 \\
y^{\prime }\left (2\right ) &= -4 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.428 |
|
| 8500 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.428 |
|