| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13501 |
\begin{align*}
x^{6} y^{\prime \prime }+x^{3} \left (3 x^{2}+a \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.437 |
|
| 13502 |
\begin{align*}
y^{\prime }&=\sec \left (x \right )-\tan \left (x \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.438 |
|
| 13503 |
\begin{align*}
y+y^{\prime }&=\sin \left (t \right ) \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.438 |
|
| 13504 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{2 x}+\frac {y}{4 x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.438 |
|
| 13505 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\sin \left (x \right )+\cos \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.438 |
|
| 13506 |
\begin{align*}
y^{\prime }&=\frac {t^{2}+1}{3 y-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.441 |
|
| 13507 |
\begin{align*}
y^{\prime }&=\frac {1}{x +y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.441 |
|
| 13508 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=3 t^{3}-9 t^{2}-5 t +1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
2.441 |
|
| 13509 |
\begin{align*}
y^{\prime }&=\frac {y}{\ln \left (y\right )} \\
y \left (0\right ) &= {\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.442 |
|
| 13510 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\arcsin \left (\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.442 |
|
| 13511 |
\begin{align*}
x \left (1-2 x \right ) y^{\prime }+1+\left (1-4 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.443 |
|
| 13512 |
\begin{align*}
y^{\prime }&=\sin \left (x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.443 |
|
| 13513 |
\begin{align*}
x {y^{\prime }}^{2}-2 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.444 |
|
| 13514 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.444 |
|
| 13515 |
\begin{align*}
\left (1-2 y\right ) {y^{\prime }}^{2}+\left (1+y^{2}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.445 |
|
| 13516 |
\begin{align*}
a \left (1+a \right ) y-2 a x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.447 |
|
| 13517 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.447 |
|
| 13518 |
\begin{align*}
9 y {y^{\prime }}^{2}+4 x^{3} y^{\prime }-4 x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.447 |
|
| 13519 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x&=5 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.447 |
|
| 13520 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.448 |
|
| 13521 |
\begin{align*}
x^{2} y^{\prime \prime }-7 y^{\prime } x +15 y&=8 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.448 |
|
| 13522 |
\begin{align*}
\left (-1+x \right )^{2} y^{\prime \prime }-\left (x^{2}-x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.448 |
|
| 13523 |
\begin{align*}
y^{\prime \prime } x -2 \left (x +1\right ) y^{\prime }+2 y&=0 \\
y \left (3\right ) &= 2 \\
y^{\prime }\left (3\right ) &= 0 \\
\end{align*}
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
2.448 |
|
| 13524 |
\begin{align*}
t^{2} y+y^{\prime }&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.450 |
|
| 13525 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x -\left (x^{2}+\frac {5}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.450 |
|
| 13526 |
\begin{align*}
y y^{\prime }+x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.451 |
|
| 13527 |
\begin{align*}
y {y^{\prime }}^{2}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.451 |
|
| 13528 |
\begin{align*}
{y^{\prime }}^{4}&=\left (y-a \right )^{3} \left (y-b \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.452 |
|
| 13529 |
\begin{align*}
y^{\prime } t +y&=2 \,{\mathrm e}^{t} t \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.452 |
|
| 13530 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.452 |
|
| 13531 |
\begin{align*}
y^{\prime \prime }&=\left (1+2 \tan \left (x \right )^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.453 |
|
| 13532 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.453 |
|
| 13533 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.453 |
|
| 13534 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x +y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.454 |
|
| 13535 |
\begin{align*}
y^{\prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.454 |
|
| 13536 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 x^{2}+{\mathrm e}^{x}+2 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.454 |
|
| 13537 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=\left \{\begin {array}{cc} \sin \left (2 t \right ) & 0\le t <\frac {\pi }{2} \\ 0 & \frac {\pi }{2}\le t \end {array}\right . \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
2.455 |
|
| 13538 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.455 |
|
| 13539 |
\begin{align*}
2 y^{\prime \prime } x +y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.455 |
|
| 13540 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.455 |
|
| 13541 |
\begin{align*}
x \left (x -3\right ) y^{\prime \prime }+3 y^{\prime }&=x^{2} \\
y \left (5\right ) &= 0 \\
y^{\prime }\left (5\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.455 |
|
| 13542 |
\begin{align*}
y^{\prime }-2 t y&=t \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.456 |
|
| 13543 |
\begin{align*}
y^{\prime }+\csc \left (x \right )+2 \cot \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.456 |
|
| 13544 |
\begin{align*}
x^{2} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime } x +y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.456 |
|
| 13545 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{2}+x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.456 |
|
| 13546 |
\begin{align*}
y^{\prime \prime }-y&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.456 |
|
| 13547 |
\begin{align*}
y^{\prime }&=2 t \left (1+y\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.457 |
|
| 13548 |
\begin{align*}
y^{\prime \prime }+\left (a b \,x^{2}+b x +2 a \right ) y^{\prime }+a^{2} \left (b \,x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.457 |
|
| 13549 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.457 |
|
| 13550 |
\begin{align*}
\left (x^{2}+x \right ) y^{\prime \prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
2.457 |
|
| 13551 |
\begin{align*}
2 y^{\prime } x +y&=10 \sqrt {x} \\
y \left (2\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.458 |
|
| 13552 |
\begin{align*}
4 y^{\prime \prime } x +\frac {y^{\prime }}{2}+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.458 |
|
| 13553 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=8 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.458 |
|
| 13554 |
\begin{align*}
y^{\prime }&=\frac {2 t}{y+t^{2} y} \\
y \left (2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.459 |
|
| 13555 |
\begin{align*}
y^{\prime \prime } x +\left (1-2 x \right ) y^{\prime }+\left (-1+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.459 |
|
| 13556 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x -8 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.459 |
|
| 13557 |
\begin{align*}
{\mathrm e}^{2 y}+\left (x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.460 |
|
| 13558 |
\begin{align*}
\left (a y+b \right ) \left (1+{y^{\prime }}^{2}\right )-c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.460 |
|
| 13559 |
\begin{align*}
x^{\prime }&=-10 x+10 y \\
y^{\prime }&=28 x-y \\
z^{\prime }&=-\frac {8 z}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.460 |
|
| 13560 |
\(\left [\begin {array}{cc} 4 & -2 \\ -2 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
2.460 |
|
| 13561 |
\begin{align*}
y^{\prime }&=\frac {3 x^{2}}{-4+3 y^{2}} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.461 |
|
| 13562 |
\begin{align*}
b y+2 x^{2} \left (a +x \right ) y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.461 |
|
| 13563 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.461 |
|
| 13564 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
2.461 |
|
| 13565 |
\begin{align*}
x^{\prime }&=a x+y \\
y^{\prime }&=-2 x+b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.461 |
|
| 13566 |
\begin{align*}
4 y^{\prime \prime } x +2 y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.461 |
|
| 13567 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +y&=1-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.462 |
|
| 13568 |
\begin{align*}
y^{\prime }+\frac {4 y}{3}&=1-\frac {t}{4} \\
y \left (0\right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.462 |
|
| 13569 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=12 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.462 |
|
| 13570 |
\begin{align*}
x \,{\mathrm e}^{y} y^{\prime }&=2 \,{\mathrm e}^{y}+2 x^{3} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.463 |
|
| 13571 |
\begin{align*}
c_{1}^{\prime }&=-\frac {k c_{1}}{V_{1}}+\frac {k c_{2}}{V_{1}} \\
c_{2}^{\prime }&=\frac {k c_{1}}{V_{2}}-\frac {k c_{2}}{V_{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.463 |
|
| 13572 |
\begin{align*}
x^{4} y^{\prime \prime }&=y^{\prime } \left (y^{\prime }+x^{3}\right ) \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.463 |
|
| 13573 |
\begin{align*}
y^{\prime }&=-\frac {4}{x^{2}} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.464 |
|
| 13574 |
\begin{align*}
x^{5} y^{\prime \prime }+\left (2 x^{4}-x \right ) y^{\prime }-\left (2 x^{3}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.466 |
|
| 13575 |
\begin{align*}
y^{\prime }+y \sqrt {x^{2}+1}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.466 |
|
| 13576 |
\begin{align*}
4 y^{\prime \prime }-9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.467 |
|
| 13577 |
\begin{align*}
\left (f \left (x +y\right )+1\right ) y^{\prime }+f \left (x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.467 |
|
| 13578 |
\begin{align*}
\frac {x y^{\prime \prime }}{1+y}+\frac {y y^{\prime }-x {y^{\prime }}^{2}+y^{\prime }}{\left (1+y\right )^{2}}&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.467 |
|
| 13579 |
\begin{align*}
y^{\prime }&={\mathrm e}^{y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.467 |
|
| 13580 |
\begin{align*}
y^{\prime } x +2 y&=\left (3 x +2\right ) {\mathrm e}^{3 x} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.470 |
|
| 13581 |
\begin{align*}
3 y y^{\prime \prime }&=2 {y^{\prime }}^{2} \\
y \left (0\right ) &= 8 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.470 |
|
| 13582 |
\begin{align*}
\left (-1+x \right )^{2} y^{\prime \prime }-5 \left (-1+x \right ) y^{\prime }+9 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.471 |
|
| 13583 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.471 |
|
| 13584 |
\begin{align*}
y_{1}^{\prime }&=y_{2} \\
y_{2}^{\prime }&=-2 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.471 |
|
| 13585 |
\begin{align*}
2 y^{\prime \prime } x +5 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.472 |
|
| 13586 |
\begin{align*}
b y+2 x^{2} \left (a +x \right ) y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.473 |
|
| 13587 |
\begin{align*}
x {y^{\prime }}^{2}-y y^{\prime }+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.473 |
|
| 13588 |
\begin{align*}
-\frac {y}{2}+y^{\prime }&=\sin \left (t \right ) \\
y \left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.473 |
|
| 13589 |
\begin{align*}
-\frac {y}{2}+y^{\prime }&=\frac {t}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.473 |
|
| 13590 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}+2 y_{2}+t \\
y_{2}^{\prime }&=-8 y_{1}-3 y_{2}-2 t \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.473 |
|
| 13591 |
\begin{align*}
y^{\prime \prime }+2 y&=x^{3}+x^{2}+{\mathrm e}^{-2 x}+\cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.474 |
|
| 13592 |
\begin{align*}
y^{\prime }&=1-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.474 |
|
| 13593 |
\begin{align*}
y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.474 |
|
| 13594 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.474 |
|
| 13595 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+\left (x^{2}+x -6\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
2.475 |
|
| 13596 |
\begin{align*}
x y y^{\prime \prime }&=y^{\prime } \left (y^{\prime }+y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.475 |
|
| 13597 |
\begin{align*}
4 y^{\prime \prime } x +2 \left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.476 |
|
| 13598 |
\begin{align*}
y^{\prime \prime }+\beta y^{\prime }+\gamma y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.476 |
|
| 13599 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=\frac {2 x^{3}+x^{2}-4 x -6}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.476 |
|
| 13600 |
\begin{align*}
t^{2} y^{\prime \prime }+\left (t^{2}-3 t \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
2.477 |
|