| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11801 |
\begin{align*}
y^{3} y^{\prime \prime }&=-1 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
0.954 |
|
| 11802 |
\begin{align*}
2 x^{\prime }-3 x-2 y^{\prime }&=t \\
2 x^{\prime }+3 x+2 y^{\prime }+8 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11803 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11804 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y&=\frac {2 \sin \left (x \right )}{5-4 \cos \left (x \right )} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.954 |
|
| 11805 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.955 |
|
| 11806 |
\begin{align*}
y^{\prime \prime }+y&=x \,{\mathrm e}^{x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11807 |
\begin{align*}
\left (x^{2}-6 x \right ) y^{\prime \prime }+4 \left (x -3\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11808 |
\begin{align*}
5 x y^{\prime \prime }+8 y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11809 |
\begin{align*}
x^{\prime }&=-2 x+y-11 \\
y^{\prime }&=-5 x+4 y-35 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11810 |
\begin{align*}
x^{\prime }&=4 x+a y \\
y^{\prime }&=8 x-6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11811 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=6 x_{1}+4 \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11812 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=4 x -6 \,{\mathrm e}^{-2 x}+3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11813 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{y} y^{\prime } \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.956 |
|
| 11814 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+8 y&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11815 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+10 y&=4 x \,{\mathrm e}^{-3 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11816 |
\begin{align*}
x^{\prime }&=7 x-5 y \\
y^{\prime }&=10 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11817 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11818 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+2 y&=\sqrt {t +1} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11819 |
\begin{align*}
t y^{\prime \prime }+4 y^{\prime }&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11820 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11821 |
\begin{align*}
x^{\prime }&=b \,{\mathrm e}^{x} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11822 |
\begin{align*}
y+y^{\prime \prime }+y^{\prime \prime \prime \prime }&=a \,x^{2}+b \,{\mathrm e}^{-x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11823 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{-x}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11824 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x -3\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11825 |
\begin{align*}
y^{\prime \prime }+y&=\frac {\operatorname {Heaviside}\left (t -4+k \right )-\operatorname {Heaviside}\left (t -4-k \right )}{2 k} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11826 |
\begin{align*}
4 x^{2} \left (x^{2}+2 x +3\right ) y^{\prime \prime }-x \left (-15 x^{2}-14 x +3\right ) y^{\prime }+\left (7 x^{2}+3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11827 |
\begin{align*}
{y^{\prime }}^{2}+a \,x^{3} y^{\prime }-2 a \,x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11828 |
\begin{align*}
x^{2} y^{\prime \prime }+y&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11829 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+3 x y^{\prime }-8 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11830 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 x^{2}+a \right ) y^{\prime }}{x \left (x^{2}+a \right )}-\frac {b y}{x^{2} \left (x^{2}+a \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 11831 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+k^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11832 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (16 x^{4}+3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11833 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11834 |
\begin{align*}
5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 11835 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=t^{{5}/{2}} {\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11836 |
\begin{align*}
t y^{\prime \prime }-\left (t^{2}+2\right ) y^{\prime }+y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11837 |
\begin{align*}
x^{2} \left (x +4\right ) y^{\prime \prime }+7 x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11838 |
\begin{align*}
2 y+4 x y^{\prime }-\left (-x^{2}+3\right ) y^{\prime \prime }+x y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 11839 |
\begin{align*}
{y^{\prime }}^{2} x +\left (k -x -y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 11840 |
\begin{align*}
y^{\prime \prime }+9 y&=\tan \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11841 |
\begin{align*}
x^{2} \left (4 x +3\right ) y^{\prime \prime }+x \left (5+18 x \right ) y^{\prime }-\left (1-12 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11842 |
\begin{align*}
-y+y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11843 |
\begin{align*}
1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11844 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+x^{3} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11845 |
\begin{align*}
y^{\prime }-\sqrt {\frac {a y^{2}+b y+c}{a \,x^{2}+b x +c}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.961 |
|
| 11846 |
\begin{align*}
z^{\prime \prime }+2 z^{\prime }&=3 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11847 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x} \left (2 \sin \left (x \right )+4 \cos \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11848 |
\begin{align*}
y^{\prime }&=1-\cot \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 11849 |
\begin{align*}
y^{\prime \prime }&=\frac {y^{\prime }}{x}-\frac {a y}{x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 11850 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (2 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 11851 |
\begin{align*}
y^{\prime }&=-\frac {y \left (2 x^{3}-y^{3}\right )}{x \left (2 y^{3}-x^{3}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11852 |
\begin{align*}
x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-x \left (4 x^{2}+3\right ) y^{\prime }+\left (2 x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11853 |
\begin{align*}
2 t^{2} y^{\prime \prime }+3 t y^{\prime }-\left (t +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11854 |
\begin{align*}
z y^{\prime \prime }+\left (1-z \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11855 |
\begin{align*}
g \left (x , y\right )+f \left (x , y\right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.963 |
|
| 11856 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+\frac {y}{4}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11857 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+2 \left (x^{2}-1\right ) y^{\prime }-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.963 |
|
| 11858 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 11859 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }-4 y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 11860 |
\begin{align*}
y^{\prime \prime }-9 y&=x +{\mathrm e}^{2 x}-\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11861 |
\begin{align*}
y^{\prime }&=\left (-1+y\right )^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 11862 |
\begin{align*}
4 y+y^{\prime \prime }&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11863 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&={\mathrm e}^{t} \ln \left (t \right ) \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11864 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11865 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=z \\
z^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11866 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=48 \,{\mathrm e}^{-x} \cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11867 |
\begin{align*}
x y^{\prime \prime }&=y^{\prime } \left (2-3 x y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 11868 |
\begin{align*}
x^{2} \left (4 x +3\right ) y^{\prime \prime }+x \left (11+4 x \right ) y^{\prime }-\left (4 x +3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.965 |
|
| 11869 |
\begin{align*}
x^{\prime }&=\frac {t +1}{\sqrt {t}} \\
x \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.965 |
|
| 11870 |
\begin{align*}
2 x^{2} y y^{\prime \prime }+y^{2}&={y^{\prime }}^{2} x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.965 |
|
| 11871 |
\begin{align*}
y^{\prime \prime }&=f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 11872 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+6 x y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 11873 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x^{2}+2\right ) y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.966 |
|
| 11874 |
\begin{align*}
y^{\prime \prime }+8 x y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 11875 |
\begin{align*}
y^{\prime \prime }-2 \left (r +\beta \right ) y^{\prime }+r^{2} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 11876 |
\begin{align*}
{\mathrm e}^{-s} \left (1+s^{\prime }\right )&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.966 |
|
| 11877 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{3}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=2 x_{2} \\
x_{3}^{\prime }&=x_{2}+3 x_{3}+{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 11878 |
\begin{align*}
x^{2} y^{\prime \prime }+\frac {3 x y^{\prime }}{2}-\frac {\left (x +1\right ) y}{2}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 11879 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 11880 |
\begin{align*}
\left (x -3\right )^{2} y^{\prime \prime }+\left (x^{2}-3 x \right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 11881 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 11882 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 11883 |
\begin{align*}
a y y^{\prime }-2 {y^{\prime }}^{2} x +x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.968 |
|
| 11884 |
\begin{align*}
x y^{2} {y^{\prime }}^{2}-2 y^{3} y^{\prime }+2 x y^{2}-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 11885 |
\begin{align*}
y^{\prime \prime }+y&=4 x \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 11886 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 \left (-x^{2}+x \right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 11887 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}&=9 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 11888 |
\begin{align*}
16 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.969 |
|
| 11889 |
\begin{align*}
x^{2} y^{\prime \prime }+6 x y^{\prime }+\left (4 x^{2}+6\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 11890 |
\begin{align*}
y^{\prime \prime }+y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 11891 |
\begin{align*}
\left (x^{2}+x -2\right ) y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }-\left (6 x^{2}+7 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.969 |
|
| 11892 |
\begin{align*}
y^{\prime }&=\cos \left (x \right ) \cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 11893 |
\begin{align*}
{y^{\prime }}^{3}-{y^{\prime }}^{2}+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.969 |
|
| 11894 |
\begin{align*}
y^{\prime \prime }+4 y&=\left \{\begin {array}{cc} 1 & 0\le t <1 \\ 0 & 1\le t <\infty \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 11895 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-x_{2}+6 x_{3} \\
x_{2}^{\prime }&=-10 x_{1}+4 x_{2}-12 x_{3} \\
x_{3}^{\prime }&=-2 x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 11896 |
\begin{align*}
\cos \left (y x \right )-x y \sin \left (y x \right )-x^{2} \sin \left (y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 11897 |
\begin{align*}
x^{\prime }-2 x+y&=0 \\
x+y^{\prime }-2 y&=-5 \,{\mathrm e}^{t} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 11898 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 11899 |
\begin{align*}
y y^{\prime }+{y^{\prime }}^{2} x +x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 11900 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|