| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13701 |
\begin{align*}
y^{\prime }&=\frac {2 y+F \left (\frac {y}{x^{2}}\right ) x^{3}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.312 |
|
| 13702 |
\begin{align*}
y^{\prime \prime }&=-\frac {\cos \left (x \right ) y^{\prime }}{\sin \left (x \right )}-\frac {\left (-17 \sin \left (x \right )^{2}-1\right ) y}{4 \sin \left (x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.312 |
|
| 13703 |
\begin{align*}
24+12 y x +x^{3} \left (-y^{3}+y y^{\prime }+y^{\prime \prime }\right )&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
1.312 |
|
| 13704 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{n}+x^{m} b \right ) y^{\prime }+\left (x^{n -1} a n +b m \,x^{m -1}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.312 |
|
| 13705 |
\begin{align*}
2 x^{\prime }+4 y^{\prime }+x-y&=3 \,{\mathrm e}^{t} \\
x^{\prime }+y^{\prime }+2 x+2 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.312 |
|
| 13706 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.312 |
|
| 13707 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=f \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.312 |
|
| 13708 |
\begin{align*}
y^{\prime }&=-k \left (y-1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.313 |
|
| 13709 |
\begin{align*}
2 t y^{3}+3 t^{2} y^{2} y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.313 |
|
| 13710 |
\begin{align*}
-y+y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.313 |
|
| 13711 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+5 y&=2 \,{\mathrm e}^{x}+10 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.313 |
|
| 13712 |
\begin{align*}
y^{\prime }&=3 y+12 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.313 |
|
| 13713 |
\begin{align*}
-2 y+y^{\prime }&=3 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.314 |
|
| 13714 |
\begin{align*}
-9 y-3 \left (1-3 x \right ) y^{\prime }+\left (1-3 x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.314 |
|
| 13715 |
\begin{align*}
\frac {y^{\prime \prime }}{y^{\prime }}&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.314 |
|
| 13716 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x -9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.315 |
|
| 13717 |
\begin{align*}
f \left (t \right ) x^{\prime \prime }+x g \left (t \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.315 |
|
| 13718 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x +\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.316 |
|
| 13719 |
\begin{align*}
y {y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.316 |
|
| 13720 |
\begin{align*}
y^{\prime \prime }-\left (3 y+f \left (x \right )\right ) y^{\prime }+y^{3}+f \left (x \right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.316 |
|
| 13721 |
\begin{align*}
y^{\prime \prime }+4 y&=4 \cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.316 |
|
| 13722 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x -\left (a \,x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.317 |
|
| 13723 |
\begin{align*}
y^{\prime \prime }-\left (\frac {1}{x}+2\right ) y^{\prime }+\left (x +\frac {1}{x^{2}}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.317 |
|
| 13724 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.317 |
|
| 13725 |
\begin{align*}
y^{\prime }+p \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.318 |
|
| 13726 |
\begin{align*}
2 y^{\prime \prime } x +5 \left (1-2 x \right ) y^{\prime }-5 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.318 |
|
| 13727 |
\begin{align*}
x^{\prime }&=x+y+{\mathrm e}^{-t} \\
y^{\prime }&=4 x-2 y+{\mathrm e}^{2 t} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.318 |
|
| 13728 |
\begin{align*}
{y^{\prime }}^{3}-{y^{\prime }}^{2}+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.319 |
|
| 13729 |
\begin{align*}
2 t^{2} y^{\prime \prime }-3 y^{\prime } t -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.319 |
|
| 13730 |
\begin{align*}
y^{\prime }&=x^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 13731 |
\begin{align*}
\frac {x y^{\prime \prime }}{1-x}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 13732 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 13733 |
\begin{align*}
y^{\prime \prime }&=1-\cos \left (x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 13734 |
\begin{align*}
x -y+2+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 13735 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (5 x -4\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (9 x -6\right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.321 |
|
| 13736 |
\begin{align*}
y y^{\prime }&=\left (-b +x \right ) {y^{\prime }}^{2}+a \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.321 |
|
| 13737 |
\begin{align*}
x^{\prime }+3 x&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.321 |
|
| 13738 |
\begin{align*}
y^{\prime }+\left (\frac {1}{x}-1\right ) y&=-\frac {2}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 13739 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (t \right ) \cos \left (2 t \right ) \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 13740 |
\begin{align*}
-y+y^{\prime }&=4 \operatorname {Heaviside}\left (t -\frac {\pi }{4}\right ) \sin \left (t +\frac {\pi }{4}\right ) \\
y \left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 13741 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\frac {x -1}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 13742 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x +a -x^{2}+2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.323 |
|
| 13743 |
\begin{align*}
y^{\prime }&=y^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 13744 |
\begin{align*}
2 x^{2} y^{\prime \prime }+3 y^{\prime } x -y x&=x^{2}+2 x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.323 |
|
| 13745 |
\begin{align*}
y&=x \left (1+y^{\prime }\right )+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 13746 |
\begin{align*}
x u^{\prime \prime }-\left ({\mathrm e}^{x} x^{2}+1\right ) u^{\prime }-x^{2} {\mathrm e}^{x} u&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.323 |
|
| 13747 |
\begin{align*}
x^{\prime \prime }+3 x^{\prime }&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 13748 |
\begin{align*}
t^{2} y^{\prime \prime }-y^{\prime } t -2 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13749 |
\begin{align*}
y^{\prime \prime }&=\sec \left (x \right ) \tan \left (x \right ) \\
y \left (0\right ) &= \frac {\pi }{4} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13750 |
\begin{align*}
y^{\prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13751 |
\begin{align*}
y^{\prime \prime }+y&=3 \cos \left (x \right )^{2}+2 \sin \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13752 |
\begin{align*}
x^{\prime }&=3 x+2 y+2 z \\
y^{\prime }&=x+4 y+z \\
z^{\prime }&=-2 x-4 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13753 |
\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. |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 13754 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+25 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 13755 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 13756 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 13757 |
\begin{align*}
x^{\prime }&=3 x-y \\
y^{\prime }&=-x+2 y-z \\
z^{\prime }&=-y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 13758 |
\begin{align*}
u^{\prime \prime }+u^{\prime }+u&=\cos \left (r +u\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.327 |
|
| 13759 |
\begin{align*}
y^{\prime \prime }+4 y&=f \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.327 |
|
| 13760 |
\begin{align*}
y^{\prime \prime }+2 p y^{\prime }+\omega _{n}^{2} y&=\omega _{n}^{2} t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.327 |
|
| 13761 |
\begin{align*}
y^{\prime \prime } x -2 \left (2+x \right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.328 |
|
| 13762 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=-6+2 \,{\mathrm e}^{2 t} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.328 |
|
| 13763 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -x^{5}+24&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.329 |
|
| 13764 |
\begin{align*}
x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=0 \\
y \left (-1\right ) &= 2 \\
y^{\prime }\left (-1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.329 |
|
| 13765 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 13766 |
\begin{align*}
-\left (n \left (n +1\right )+a^{2} x^{2}\right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 13767 |
\begin{align*}
y^{\prime \prime }+4 y&=\operatorname {Heaviside}\left (t -\pi \right )-\operatorname {Heaviside}\left (t -3 \pi \right ) \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 13768 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=4 x^{3}-2 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 13769 |
\begin{align*}
m y^{\prime \prime }+k y&=f \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 13770 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.331 |
|
| 13771 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (a x \right ) \sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.332 |
|
| 13772 |
\begin{align*}
y^{\prime \prime }&=\frac {y^{\prime }}{x +1}-\frac {\left (1+3 x \right ) y}{4 x^{2} \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13773 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime } x -4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13774 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=5 \cos \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13775 |
\begin{align*}
-y+y^{\prime } x +y^{\prime \prime }&=f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.332 |
|
| 13776 |
\begin{align*}
x^{\prime }&=x^{p} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13777 |
\begin{align*}
\left (1-\frac {1}{x}\right ) u^{\prime \prime }+\left (\frac {2}{x}-\frac {2}{x^{2}}-\frac {1}{x^{3}}\right ) u^{\prime }-\frac {u}{x^{4}}&=\frac {2}{x}-\frac {2}{x^{2}}-\frac {2}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.332 |
|
| 13778 |
\begin{align*}
y^{\prime \prime } x +\left (1-x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13779 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 13780 |
\begin{align*}
y^{\prime \prime }-6 y^{2}+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.333 |
|
| 13781 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=18 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.333 |
|
| 13782 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.333 |
|
| 13783 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13784 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-2 x_{2}-x_{3} \\
x_{2}^{\prime }&=-x_{1}+x_{2}+x_{3}+12 t \\
x_{3}^{\prime }&=x_{1}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13785 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+y x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13786 |
\begin{align*}
x^{2} y^{\prime \prime }+6 y^{\prime } x +4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13787 |
\begin{align*}
y^{\prime \prime }-16 y&=\delta \left (t -10\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13788 |
\begin{align*}
\left (t^{2}-y^{2}\right ) y^{\prime }+y^{2}+t y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 13789 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.336 |
|
| 13790 |
\begin{align*}
y^{\prime \prime } x&=\left (1-y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.336 |
|
| 13791 |
\begin{align*}
y^{\prime }&=\frac {2 y}{\pi }-\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.336 |
|
| 13792 |
\begin{align*}
y^{\prime } x -y \left (x \ln \left (\frac {x^{2}}{y}\right )+2\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.336 |
|
| 13793 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{-x}+\cos \left (x \right )+x^{3}+{\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.336 |
|
| 13794 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.337 |
|
| 13795 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.337 |
|
| 13796 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.338 |
|
| 13797 |
\begin{align*}
y^{\prime }&=y^{3}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 13798 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=52 \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 13799 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }-9 y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 13800 |
\begin{align*}
y^{\prime \prime }-2 r y^{\prime }+\left (r^{2}-\frac {\alpha ^{2}}{4}\right ) y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.339 |
|