| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 21501 |
\begin{align*}
y^{\prime }&=1-x -x^{3}+\left (2 x^{2}+1\right ) y-x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.540 |
|
| 21502 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }-y \cos \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.540 |
|
| 21503 |
\begin{align*}
y^{3} y^{\prime }+y^{4} x&=x \,{\mathrm e}^{-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.542 |
|
| 21504 |
\begin{align*}
y^{\prime \prime }&=2 y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.543 |
|
| 21505 |
\begin{align*}
x y^{\prime } y&=x^{2}+2 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.544 |
|
| 21506 |
\begin{align*}
y^{\prime }&=\frac {1}{\left (t +y\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.545 |
|
| 21507 |
\begin{align*}
y^{\prime } x -y-x \sin \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.547 |
|
| 21508 |
\begin{align*}
x +y+\left (2 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.548 |
|
| 21509 |
\begin{align*}
{\mathrm e}^{x} y+2 \,{\mathrm e}^{x}+y^{2}+\left ({\mathrm e}^{x}+2 y x \right ) y^{\prime }&=0 \\
y \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.548 |
|
| 21510 |
\begin{align*}
\sin \left (y\right )+\left (x +y\right ) \cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.548 |
|
| 21511 |
\begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.549 |
|
| 21512 |
\begin{align*}
\left (y^{2}-2 a x +a^{2}\right ) {y^{\prime }}^{2}+2 a y y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.549 |
|
| 21513 |
\begin{align*}
-x^{\prime \prime }&=\frac {1}{\sqrt {1+x^{2}}}-x \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
4.549 |
|
| 21514 |
\begin{align*}
\left (a \,x^{2}+b x +c \right )^{2} \left (y^{\prime }+y^{2}\right )+A&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.551 |
|
| 21515 |
\begin{align*}
\left (y^{2}+x^{2}\right ) \left (y^{\prime } y+x \right )+\sqrt {1+x^{2}+y^{2}}\, \left (y-y^{\prime } x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.551 |
|
| 21516 |
\begin{align*}
a y^{\prime \prime }-\left (a b +c +x \right ) y^{\prime }+\left (b \left (x +c \right )+d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
4.552 |
|
| 21517 |
\begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.552 |
|
| 21518 | \begin{align*}
y^{2} x^{2}-y+\left (2 x^{3} y+x \right ) y^{\prime }&=0 \\
y \left (2\right ) &= -2 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 4.553 |
|
| 21519 |
\begin{align*}
\left ({\mathrm e}^{x^{2}}-k^{2}\right ) x^{3} y-y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
4.554 |
|
| 21520 |
\begin{align*}
x^{n} y^{\prime }+y^{2}-\left (n -1\right ) x^{n -1} y+x^{2 n -2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.556 |
|
| 21521 |
\begin{align*}
x^{2}+y^{2}+2 x y^{\prime } y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.559 |
|
| 21522 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +2 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.559 |
|
| 21523 |
\begin{align*}
\left (-y+y^{\prime } x \right ) \left (\ln \left (y\right )-\ln \left (x \right )\right )&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.563 |
|
| 21524 |
\begin{align*}
y^{\prime } x&=x +y+{\mathrm e}^{\frac {y}{x}} x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.563 |
|
| 21525 |
\begin{align*}
y^{\prime \prime }+10 y&=0 \\
y \left (0\right ) &= \pi \\
y^{\prime }\left (0\right ) &= \pi ^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.563 |
|
| 21526 |
\begin{align*}
{\mathrm e}^{x} y^{\prime }&=2 x y^{2}+{\mathrm e}^{x} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.566 |
|
| 21527 |
\begin{align*}
y^{2} y^{\prime } x&=x^{3}+y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.567 |
|
| 21528 |
\begin{align*}
y^{\prime }&=\frac {x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.572 |
|
| 21529 |
\begin{align*}
y^{\prime } x&=2 x -y \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.572 |
|
| 21530 |
\begin{align*}
y^{\prime }&=\frac {x}{y} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.577 |
|
| 21531 |
\begin{align*}
\phi ^{\prime }-\frac {\phi ^{2}}{2}-\phi \cot \left (\theta \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.580 |
|
| 21532 |
\begin{align*}
2 x y^{\prime } y+2 y^{2}+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.580 |
|
| 21533 |
\begin{align*}
2 t -2 \,{\mathrm e}^{t y} \sin \left (2 t \right )+{\mathrm e}^{t y} \cos \left (2 t \right ) y+\left (-3+{\mathrm e}^{t y} t \cos \left (2 t \right )\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.582 |
|
| 21534 |
\begin{align*}
\left (x +y\right ) y^{\prime }+x&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.582 |
|
| 21535 |
\begin{align*}
2 y&=\left (x^{2} y^{4}+x \right ) y^{\prime } \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.582 |
|
| 21536 |
\begin{align*}
2 x^{3} y+y^{3}-\left (x^{4}+2 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.583 |
|
| 21537 | \begin{align*}
y^{\prime }&=a \,x^{n} y^{2}+\lambda y-a \,b^{2} x^{n} {\mathrm e}^{2 \lambda x} \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 4.585 |
|
| 21538 |
\begin{align*}
\frac {r \tan \left (\theta \right ) r^{\prime }}{a^{2}-r^{2}}&=1 \\
r \left (\frac {\pi }{4}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.586 |
|
| 21539 |
\begin{align*}
x {y^{\prime }}^{2}+a y y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.587 |
|
| 21540 |
\begin{align*}
\left (1+\sqrt {x +y}\right ) y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.589 |
|
| 21541 |
\begin{align*}
1+y+\left (1-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.591 |
|
| 21542 |
\begin{align*}
y^{\prime }+{y^{\prime }}^{3}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.592 |
|
| 21543 |
\begin{align*}
\left (x -1\right ) y^{\prime }+3 y&=\frac {1+\left (x -1\right ) \sec \left (x \right )^{2}}{\left (x -1\right )^{3}} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.594 |
|
| 21544 |
\begin{align*}
y^{\prime } \sin \left (x \right )^{2}+\sin \left (x \right )^{2}+\left (x +y\right ) \sin \left (2 x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.594 |
|
| 21545 |
\begin{align*}
y-x y^{2}+\left (y^{2} x^{2}+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.595 |
|
| 21546 |
\begin{align*}
x y^{\prime } y+2 x^{2}-2 y x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.596 |
|
| 21547 |
\begin{align*}
\left (x +2 y+1\right ) y^{\prime }+1-x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.598 |
|
| 21548 |
\begin{align*}
y^{\prime }-\frac {y^{2}}{x^{2}}&={\frac {1}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.599 |
|
| 21549 |
\begin{align*}
y^{2} y^{\prime } x&=x^{3}+y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.601 |
|
| 21550 |
\begin{align*}
y \left (1-x^{4} y^{2}\right )+y^{\prime } x&=0 \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.602 |
|
| 21551 |
\begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.605 |
|
| 21552 |
\begin{align*}
y^{\prime }&=-\frac {i \left (32 i x +64+64 y^{4}+32 y^{2} x^{2}+4 x^{4}+64 y^{6}+48 x^{2} y^{4}+12 x^{4} y^{2}+x^{6}\right )}{128 y} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
4.607 |
|
| 21553 |
\begin{align*}
y^{\prime }&=\frac {x}{y}+\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.607 |
|
| 21554 |
\begin{align*}
x^{3}+x y^{3}+3 y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.609 |
|
| 21555 |
\begin{align*}
x^{\prime }+\frac {\sin \left (t \right ) x}{1+{\mathrm e}^{t}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.612 |
|
| 21556 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )-y \sin \left (y x \right )+\left ({\mathrm e}^{x} \cos \left (y\right )-x \sin \left (y x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.616 |
|
| 21557 | \begin{align*}
x^{2} y^{\prime }&=2 y \left (x -y^{2}\right ) \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 4.618 |
|
| 21558 |
\begin{align*}
\left (x -a \right ) \left (-b +x \right ) y^{\prime }&=c y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.620 |
|
| 21559 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }+y x -3 x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.623 |
|
| 21560 |
\begin{align*}
y^{\prime \prime }&=-\frac {\cos \left (x \right ) y^{\prime }}{\sin \left (x \right )}+\frac {y}{\sin \left (x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.624 |
|
| 21561 |
\begin{align*}
4 x y^{\prime } y&=1+y^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.625 |
|
| 21562 |
\begin{align*}
y^{\prime }&=-\frac {y}{t}+2 \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.625 |
|
| 21563 |
\begin{align*}
y^{\prime }+2 y x&=2 x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.627 |
|
| 21564 |
\begin{align*}
y^{\prime \prime }+a \,{\mathrm e}^{\lambda x} y^{\prime }-b \,{\mathrm e}^{\mu x} \left (a \,{\mathrm e}^{\lambda x}+b \,{\mathrm e}^{\mu x}+\mu \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
4.628 |
|
| 21565 |
\begin{align*}
y^{\prime }&=\frac {2 x y^{2}+x}{x^{2} y-y} \\
y \left (\sqrt {2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.629 |
|
| 21566 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-1-2 a y \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
4.631 |
|
| 21567 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }-y \ln \left (x \right )&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
4.632 |
|
| 21568 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+8 y&=\left (1-\operatorname {Heaviside}\left (t -4\right )\right ) \cos \left (t -4\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
4.632 |
|
| 21569 |
\begin{align*}
x^{\prime \prime }+6 x^{5}&=0 \\
x \left (0\right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
4.634 |
|
| 21570 |
\begin{align*}
y^{\prime }+y^{2}&=\frac {a^{2}}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.635 |
|
| 21571 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{2}-2 x_{3}+3 x_{4}+2 x_{5} \\
x_{2}^{\prime }&=8 x_{1}+6 x_{2}+4 x_{3}-8 x_{4}-16 x_{5} \\
x_{3}^{\prime }&=-8 x_{1}-8 x_{2}-6 x_{3}+8 x_{4}-16 x_{5} \\
x_{4}^{\prime }&=8 x_{1}+7 x_{2}+4 x_{3}-9 x_{4}-16 x_{5} \\
x_{5}^{\prime }&=-3 x_{1}-5 x_{2}-3 x_{3}+5 x_{4}+7 x_{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.635 |
|
| 21572 |
\begin{align*}
x \left (2 x -1\right ) y^{\prime }+y^{2}-\left (4 x +1\right ) y+4 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.636 |
|
| 21573 |
\begin{align*}
-y+y^{\prime } x&=\left (1+y^{2}\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.636 |
|
| 21574 |
\begin{align*}
y^{\prime }&=\frac {y}{x \left (-1+F \left (y x \right ) y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.637 |
|
| 21575 |
\begin{align*}
{\mathrm e}^{\frac {t}{y}} \left (y-t \right ) y^{\prime }+y \left (1+{\mathrm e}^{\frac {t}{y}}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.638 |
|
| 21576 | \begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} | ✓ | ✓ | ✗ | ✓ | 4.638 |
|
| 21577 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+x y \left (1-y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.642 |
|
| 21578 |
\begin{align*}
y^{\prime }&=\frac {x \left (a -1\right ) \left (a +1\right )}{y+F \left (\frac {y^{2}}{2}-\frac {a^{2} x^{2}}{2}+\frac {x^{2}}{2}\right ) a^{2}-F \left (\frac {y^{2}}{2}-\frac {a^{2} x^{2}}{2}+\frac {x^{2}}{2}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.642 |
|
| 21579 |
\begin{align*}
y^{\prime } x -2 y&=2 x^{4} \\
y \left (2\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.642 |
|
| 21580 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.647 |
|
| 21581 |
\begin{align*}
y&=y^{\prime } x +\ln \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.648 |
|
| 21582 |
\begin{align*}
y^{\prime }&=\frac {y-2 x}{-x +2 y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.648 |
|
| 21583 |
\begin{align*}
x \left (x^{2}-y^{2}\right )-x \left (y^{2}+x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.651 |
|
| 21584 |
\begin{align*}
y^{\prime } y+x +f \left (y^{2}+x^{2}\right ) g \left (x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
4.651 |
|
| 21585 |
\begin{align*}
2 x^{2} y^{\prime }&=y^{2}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.651 |
|
| 21586 |
\begin{align*}
x^{2}+y^{2}-2 x y^{\prime } y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.651 |
|
| 21587 |
\begin{align*}
y^{\prime } y&=\sqrt {y^{2}+x^{2}}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.652 |
|
| 21588 |
\begin{align*}
\frac {t}{\sqrt {t^{2}+y^{2}}}+\frac {y y^{\prime }}{\sqrt {t^{2}+y^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.652 |
|
| 21589 |
\begin{align*}
x +y-\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.658 |
|
| 21590 |
\begin{align*}
y x +\left (y+x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
4.662 |
|
| 21591 |
\begin{align*}
y^{\prime }&=x y^{3}-y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.663 |
|
| 21592 |
\begin{align*}
\left (b \,x^{2}+a \right ) y^{\prime }&=-A -B y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.665 |
|
| 21593 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.666 |
|
| 21594 |
\begin{align*}
x^{2}+y^{2}-2 x y^{\prime } y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.667 |
|
| 21595 |
\begin{align*}
y \sin \left (y x \right )+x y^{2} \cos \left (y x \right )+\left (x \sin \left (y x \right )+x y^{2} \cos \left (y x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
4.670 |
|
| 21596 | \begin{align*}
3 y^{2} {y^{\prime }}^{2}-2 x y^{\prime } y-x^{2}+4 y^{2}&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 4.672 |
|
| 21597 |
\begin{align*}
\cos \left (y\right )^{2}+\left (x -\tan \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.675 |
|
| 21598 |
\begin{align*}
2 y^{\prime }+4 {y^{\prime }}^{3}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.677 |
|
| 21599 |
\begin{align*}
3 x -2 y+4-\left (2 x +7 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
4.677 |
|
| 21600 |
\begin{align*}
y^{\prime \prime }-\left (\frac {f^{\prime }\left (x \right )}{f \left (x \right )}+2 a \right ) y^{\prime }+\left (\frac {a f^{\prime }\left (x \right )}{f \left (x \right )}+a^{2}-b^{2} f \left (x \right )^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
4.681 |
|