| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14101 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (\frac {\pi }{3}\right ) &= 2 \\
y^{\prime }\left (\frac {\pi }{3}\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.445 |
|
| 14102 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=\delta \left (t -\frac {\pi }{2}\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.445 |
|
| 14103 |
\begin{align*}
y^{\prime \prime }&=-\frac {b^{2} y}{\left (a^{2}+x^{2}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.445 |
|
| 14104 |
\begin{align*}
x y^{\prime \prime }+\left (a \,x^{2}+b x \right ) y^{\prime }-\left (a c \,x^{2}+\left (b c +c^{2}+a \right ) x +b +2 c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.446 |
|
| 14105 |
\begin{align*}
x^{\prime }&=x+2 y+{\mathrm e}^{t} \\
y^{\prime }&=x-2 y-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.446 |
|
| 14106 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.447 |
|
| 14107 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.447 |
|
| 14108 |
\begin{align*}
2 {y^{\prime }}^{3}+3 {y^{\prime }}^{2}&=x +y \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.447 |
|
| 14109 |
\begin{align*}
{y^{\prime }}^{3}-x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.448 |
|
| 14110 |
\begin{align*}
y^{\prime }-\frac {2 y}{x}&=-x^{2}+1 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.448 |
|
| 14111 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a^{2} x^{2}-n \left (n +1\right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.449 |
|
| 14112 |
\begin{align*}
y^{2} \left (1+{y^{\prime }}^{2}\right )&=a^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.449 |
|
| 14113 |
\begin{align*}
y^{\prime }&=\ln \left (1+y^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.450 |
|
| 14114 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (4 x^{4}-5 x \right ) y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.450 |
|
| 14115 |
\begin{align*}
x^{\prime \prime }+36 x&=0 \\
x \left (0\right ) &= 5 \\
x \left (\frac {\pi }{12}\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.450 |
|
| 14116 |
\begin{align*}
-2 y+x y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.451 |
|
| 14117 |
\begin{align*}
2 y-3 x y^{2}-x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.451 |
|
| 14118 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }-i x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.451 |
|
| 14119 |
\begin{align*}
y^{\prime \prime }+2 z \omega _{n} y^{\prime }+\omega _{n}^{2} y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.451 |
|
| 14120 |
\begin{align*}
m y^{\prime \prime }+k y&=\cos \left (\omega t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.451 |
|
| 14121 |
\begin{align*}
-\left (-4 x^{2}+3\right ) y-4 x y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.452 |
|
| 14122 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 x^{2} y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.452 |
|
| 14123 |
\begin{align*}
-4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=\cos \left (x \right )^{2}-\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.452 |
|
| 14124 |
\begin{align*}
\left (x -2\right )^{2} y^{\prime \prime }-3 \left (x -2\right ) y^{\prime }+4 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.452 |
|
| 14125 |
\begin{align*}
2 x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (2 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.453 |
|
| 14126 |
\begin{align*}
4 x \left (x -1\right ) \left (x -2\right ) {y^{\prime }}^{2}-\left (3 x^{2}-6 x +2\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.453 |
|
| 14127 |
\begin{align*}
x \left (x -1\right ) y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+2 y&=x^{2} \left (2 x -3\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.453 |
|
| 14128 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&=\delta \left (t -\frac {\pi }{4}\right ) \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.454 |
|
| 14129 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.454 |
|
| 14130 |
\begin{align*}
y^{\prime \prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.454 |
|
| 14131 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y&=\left (1-x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.454 |
|
| 14132 |
\begin{align*}
x y^{2} \left ({y^{\prime }}^{2}+2\right )&=2 y^{3} y^{\prime }+x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.454 |
|
| 14133 |
\begin{align*}
y y^{\prime \prime }-a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.455 |
|
| 14134 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+\left (2 x^{2}+\frac {5}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.456 |
|
| 14135 |
\begin{align*}
y^{\prime }-3 z&=5 \\
y-z^{\prime }-x&=3-2 t \\
z+x^{\prime }&=-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.456 |
|
| 14136 |
\begin{align*}
y^{\prime \prime }+\sqrt {y^{\prime }}+y&=t \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.456 |
|
| 14137 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.457 |
|
| 14138 |
\begin{align*}
y^{\prime \prime }+x^{6} y^{\prime }+7 x^{5} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.457 |
|
| 14139 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+y^{2}-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.457 |
|
| 14140 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.457 |
|
| 14141 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }&=8 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.457 |
|
| 14142 |
\begin{align*}
t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.458 |
|
| 14143 |
\begin{align*}
y^{\prime \prime }+2 z \omega _{n} y^{\prime }+\omega _{n}^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.458 |
|
| 14144 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.459 |
|
| 14145 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y&=0 \\
y \left (1\right ) &= 4 \\
y^{\prime }\left (1\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.459 |
|
| 14146 |
\begin{align*}
x y y^{\prime \prime }&=-\left (y+1\right ) y^{\prime }+2 {y^{\prime }}^{2} x \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.460 |
|
| 14147 |
\begin{align*}
y x -x^{2} y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.460 |
|
| 14148 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+\left (g \left (x \right )+f \left (x \right ) y^{2}\right ) y^{\prime }-y \left (g^{\prime }\left (x \right )-f^{\prime }\left (x \right ) y^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
1.460 |
|
| 14149 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-\left (\nu ^{2}+x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.460 |
|
| 14150 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.460 |
|
| 14151 |
\begin{align*}
y^{\prime \prime }+9 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.460 |
|
| 14152 |
\begin{align*}
\left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime \prime }&=-x +2 y x -{\mathrm e}^{y} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.460 |
|
| 14153 |
\begin{align*}
y^{\prime \prime }-2 a y^{\prime }+a^{2} y&={\mathrm e}^{a x}+f^{\prime \prime }\left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.461 |
|
| 14154 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.461 |
|
| 14155 |
\begin{align*}
y^{\prime }&=y+{\mathrm e}^{-y}+{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.463 |
|
| 14156 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 x \left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.463 |
|
| 14157 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=6 \,{\mathrm e}^{-2 x}+3 \,{\mathrm e}^{x}-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.463 |
|
| 14158 |
\begin{align*}
y^{\prime \prime }+4 y&=\sin \left (t \right )+\delta \left (t -\pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.464 |
|
| 14159 |
\begin{align*}
16 y^{2} {y^{\prime }}^{3}+2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.464 |
|
| 14160 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.464 |
|
| 14161 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.464 |
|
| 14162 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.465 |
|
| 14163 |
\begin{align*}
y x -1+\left (x^{2}-y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.465 |
|
| 14164 |
\begin{align*}
4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y&=16 t^{{3}/{2}} \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (2 \pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.465 |
|
| 14165 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (7 a \,x^{2}+5\right ) y^{\prime }}{x \left (a \,x^{2}+1\right )}-\frac {\left (15 a \,x^{2}+5\right ) y}{x^{2} \left (a \,x^{2}+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.466 |
|
| 14166 |
\begin{align*}
y^{\prime \prime }+\frac {5 y^{\prime }}{x}+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.466 |
|
| 14167 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\
x_{3}^{\prime }&=5 x_{3} \\
x_{4}^{\prime }&=-21 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.467 |
|
| 14168 |
\begin{align*}
2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.467 |
|
| 14169 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.467 |
|
| 14170 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )+2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.467 |
|
| 14171 |
\begin{align*}
x^{\prime }&=-\lambda x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.467 |
|
| 14172 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.468 |
|
| 14173 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.468 |
|
| 14174 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.469 |
|
| 14175 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=3 x \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.469 |
|
| 14176 |
\begin{align*}
y^{\prime \prime }+t y^{\prime }+{\mathrm e}^{-t^{2}} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.470 |
|
| 14177 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{x}-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.470 |
|
| 14178 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.470 |
|
| 14179 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime \prime }+5 \left (-x^{2}+1\right ) y^{\prime }-4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.470 |
|
| 14180 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+x y^{\prime }-y&=\left (x +1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.470 |
|
| 14181 |
\begin{align*}
y^{\prime }&=2-y \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.470 |
|
| 14182 |
\begin{align*}
x^{\prime \prime }+{x^{\prime }}^{2}+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.470 |
|
| 14183 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.472 |
|
| 14184 |
\begin{align*}
x^{2} \left (a x +b \right ) y^{\prime \prime }+\left (a \left (2-n -m \right ) x^{2}-b \left (n +m \right ) x \right ) y^{\prime }+\left (a m \left (n -1\right ) x +b n \left (m +1\right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.472 |
|
| 14185 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-4 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.473 |
|
| 14186 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=x^{3} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14187 |
\begin{align*}
x^{\prime \prime }+k^{2} x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14188 |
\begin{align*}
y^{\prime }&=2 y-4 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14189 |
\begin{align*}
2 y+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14190 |
\begin{align*}
4 x y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14191 |
\begin{align*}
x^{\prime }&=a x+y \\
y^{\prime }&=-2 x+b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.474 |
|
| 14192 |
\begin{align*}
x^{\prime }&=2 x+\operatorname {Heaviside}\left (t -1\right ) \\
x \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.475 |
|
| 14193 |
\begin{align*}
y^{\prime \prime }-2 a y^{\prime }+a^{2} y&=f \left (t \right ) \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.475 |
|
| 14194 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.476 |
|
| 14195 |
\begin{align*}
y^{\prime \prime }&=x^{-2+n} f \left (y x^{-n}, x^{1-n} y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.476 |
|
| 14196 |
\begin{align*}
x y^{\prime \prime }-x y^{\prime }-y-x \left (x +1\right ) {\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.476 |
|
| 14197 |
\begin{align*}
t^{2} y^{\prime \prime }+t \,{\mathrm e}^{t} y^{\prime }+4 \left (1-4 t \right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
1.476 |
|
| 14198 |
\begin{align*}
x y^{\prime \prime }&=x +y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.477 |
|
| 14199 |
\begin{align*}
x^{2} \left (a x +b \right ) y^{\prime \prime }-2 x \left (a x +2 b \right ) y^{\prime }+2 \left (a x +3 b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.477 |
|
| 14200 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y&=18 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.477 |
|