| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14901 |
\begin{align*}
x y^{\prime \prime }+a x y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.712 |
|
| 14902 |
\begin{align*}
t^{2} y^{\prime \prime }-t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.713 |
|
| 14903 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \\
y \left (-6\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.714 |
|
| 14904 |
\begin{align*}
y^{4}+\left (x^{2}-3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.714 |
|
| 14905 |
\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*} |
✓ |
✓ |
✓ |
✗ |
1.715 |
|
| 14906 |
\begin{align*}
5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.716 |
|
| 14907 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.717 |
|
| 14908 |
\begin{align*}
2 y^{\prime \prime }+t y^{\prime }-2 y&=10 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.717 |
|
| 14909 |
\begin{align*}
{y^{\prime }}^{2} x -y y^{\prime }+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.717 |
|
| 14910 |
\begin{align*}
4 {y^{\prime }}^{2} x +2 x y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.719 |
|
| 14911 |
\begin{align*}
\left (x^{2}-x -6\right ) y^{\prime \prime }+\left (5+3 x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
1.719 |
|
| 14912 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y&=0 \\
y \left (\frac {1}{2}\right ) &= 10 \\
\end{align*}
Series expansion around \(x={\frac {1}{2}}\). |
✓ |
✓ |
✓ |
✓ |
1.719 |
|
| 14913 |
\begin{align*}
y^{\prime }&=y-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.719 |
|
| 14914 |
\begin{align*}
x y y^{\prime \prime }&=y \left (\operatorname {a2} +\operatorname {a3} y^{2}\right )+x \left (\operatorname {a0} +\operatorname {a1} y^{4}\right )-y y^{\prime }+{y^{\prime }}^{2} x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.720 |
|
| 14915 |
\begin{align*}
y^{\prime }+p \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.721 |
|
| 14916 |
\begin{align*}
y^{\prime }&=y^{2}+2 y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.722 |
|
| 14917 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+\frac {5 y}{4}&=t -\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right ) \left (t -\frac {\pi }{2}\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.723 |
|
| 14918 |
\begin{align*}
y^{\prime }&=2 y+{\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.724 |
|
| 14919 |
\begin{align*}
\cos \left (x \right ) \cos \left (y\right )^{2}-\sin \left (x \right ) \sin \left (2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.724 |
|
| 14920 |
\begin{align*}
x y^{\prime \prime }&=\left (2 x^{2}+1\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.725 |
|
| 14921 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=16 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.725 |
|
| 14922 |
\begin{align*}
y^{\prime \prime }-9 y&=5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.725 |
|
| 14923 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.726 |
|
| 14924 |
\begin{align*}
y^{\prime \prime }&=2 y^{3} \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.726 |
|
| 14925 |
\begin{align*}
y^{\prime } y^{\prime \prime }&=1 \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.726 |
|
| 14926 |
\begin{align*}
\left ({y^{\prime }}^{2}-\frac {1}{a^{2}-x^{2}}\right ) \left (y^{\prime }-\sqrt {\frac {y}{x}}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.727 |
|
| 14927 |
\begin{align*}
-2 y+y^{\prime }&=\operatorname {Heaviside}\left (t -2\right ) {\mathrm e}^{t -2} \\
y \left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.728 |
|
| 14928 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.728 |
|
| 14929 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.729 |
|
| 14930 |
\begin{align*}
y^{\prime }-y&=2 \,{\mathrm e}^{4 x} \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.729 |
|
| 14931 |
\begin{align*}
2 y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.730 |
|
| 14932 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\frac {x -1}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.730 |
|
| 14933 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.730 |
|
| 14934 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.730 |
|
| 14935 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.730 |
|
| 14936 |
\begin{align*}
y^{\prime }&=\sin \left (x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.730 |
|
| 14937 |
\begin{align*}
4 y^{\prime \prime }-y&=0 \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.731 |
|
| 14938 |
\begin{align*}
t^{2} y^{\prime \prime }-t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.731 |
|
| 14939 |
\begin{align*}
9 y^{2} {y^{\prime }}^{2}-3 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.731 |
|
| 14940 |
\begin{align*}
2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.731 |
|
| 14941 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (1-5 x \right ) y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.731 |
|
| 14942 |
\begin{align*}
x^{2}+2 y+4 \left (x +y\right ) y^{\prime }+2 {y^{\prime }}^{2} x +x \left (x +2 y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.732 |
|
| 14943 |
\begin{align*}
y+y^{\prime }&=\operatorname {Heaviside}\left (t -2\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.732 |
|
| 14944 |
\begin{align*}
2 {y^{\prime }}^{3}+{y^{\prime }}^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.733 |
|
| 14945 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.733 |
|
| 14946 |
\begin{align*}
\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.733 |
|
| 14947 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x&=0 \\
y \left (0\right ) &= -{\frac {2}{3}} \\
y \left (1\right ) &= 2 \,{\mathrm e}^{-1}+\frac {1}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.734 |
|
| 14948 |
\begin{align*}
x_{1}^{\prime }&=-5 x_{1}-2 x_{2}-x_{3}+2 x_{4}+3 x_{5} \\
x_{2}^{\prime }&=-3 x_{2} \\
x_{3}^{\prime }&=x_{1}-x_{3}-x_{5} \\
x_{4}^{\prime }&=2 x_{1}+x_{2}-4 x_{4}-2 x_{5} \\
x_{5}^{\prime }&=-3 x_{1}-2 x_{2}-x_{3}+2 x_{4}+x_{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.735 |
|
| 14949 |
\begin{align*}
x \left (x -1\right ) y^{\prime }+y^{3}&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.735 |
|
| 14950 |
\begin{align*}
x_{1}^{\prime }&=2 x_{2} \\
x_{2}^{\prime }&=-2 x_{1} \\
x_{3}^{\prime }&=-3 x_{4} \\
x_{4}^{\prime }&=3 x_{3} \\
\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 \\
x_{4} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.736 |
|
| 14951 |
\begin{align*}
3 z^{\prime }+11 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.736 |
|
| 14952 |
\begin{align*}
x y^{\prime \prime }+\left (-x^{3}+x \right ) y^{\prime }+y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.737 |
|
| 14953 |
\begin{align*}
x y^{\prime \prime }+\left (a \,x^{3}+b \,x^{2}+2\right ) y^{\prime }+b x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.737 |
|
| 14954 |
\begin{align*}
y^{\prime }&=y+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.737 |
|
| 14955 |
\begin{align*}
y^{\prime \prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.737 |
|
| 14956 |
\begin{align*}
y^{\prime \prime }+a \left (-b^{2}+x^{2}\right ) y^{\prime }-a \left (x +b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.738 |
|
| 14957 |
\begin{align*}
x y^{\prime \prime }+\left (a \,x^{3} b +b \,x^{2}+a x -1\right ) y^{\prime }+a^{2} b \,x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.738 |
|
| 14958 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&={\mathrm e}^{2 x}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.738 |
|
| 14959 |
\begin{align*}
4 x -2 y y^{\prime }+{y^{\prime }}^{2} x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.739 |
|
| 14960 |
\begin{align*}
\left (t +1\right ) y+t y^{\prime }&=t \\
y \left (\ln \left (2\right )\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.740 |
|
| 14961 |
\begin{align*}
x^{2} y^{\prime \prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.740 |
|
| 14962 |
\begin{align*}
y^{\prime \prime }+\left (\sin \left (x \right )+2 x \right ) y^{\prime }+\cos \left (y\right ) y {y^{\prime }}^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.740 |
|
| 14963 |
\begin{align*}
y^{\prime }+a y&={\mathrm e}^{-a t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.741 |
|
| 14964 |
\begin{align*}
x^{\prime }&=3 x-2 y+24 \sin \left (t \right ) \\
y^{\prime }&=9 x-3 y+12 \cos \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.742 |
|
| 14965 |
\begin{align*}
y^{\prime \prime }&=-9 y \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.742 |
|
| 14966 |
\begin{align*}
y^{\prime \prime }&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.744 |
|
| 14967 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&={\mathrm e}^{-3 t}-{\mathrm e}^{3 t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.744 |
|
| 14968 |
\begin{align*}
3 y^{2} y^{\prime }+y^{3}&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.745 |
|
| 14969 |
\begin{align*}
x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.745 |
|
| 14970 |
\begin{align*}
y^{\prime }&=12+4 y-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.745 |
|
| 14971 |
\begin{align*}
2 x \left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.746 |
|
| 14972 |
\begin{align*}
4 x y^{\prime \prime }+3 y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.746 |
|
| 14973 |
\begin{align*}
\left (1+y^{2}\right ) y^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.746 |
|
| 14974 |
\begin{align*}
y^{\prime }&=x \ln \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.747 |
|
| 14975 |
\begin{align*}
t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.747 |
|
| 14976 |
\begin{align*}
y&=y^{\prime } \left (1+y^{\prime } \cos \left (y^{\prime }\right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.747 |
|
| 14977 |
\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*} |
✓ |
✓ |
✓ |
✗ |
1.748 |
|
| 14978 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y \left (\frac {\pi }{4}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{4}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.748 |
|
| 14979 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}-a^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.749 |
|
| 14980 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.749 |
|
| 14981 |
\begin{align*}
2 x y^{\prime \prime }+y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.749 |
|
| 14982 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.749 |
|
| 14983 |
\begin{align*}
x^{\prime }+a \left (t \right ) x&=f \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.749 |
|
| 14984 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14985 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14986 |
\begin{align*}
y^{\prime }-y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14987 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}+4&=0 \\
y \left (1\right ) &= 3 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.750 |
|
| 14988 |
\begin{align*}
2 \left (5+x \right ) y-x \left (7+2 x \right ) y^{\prime }+2 x^{2} y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14989 |
\begin{align*}
x^{\prime \prime \prime }+x^{\prime \prime }-x^{\prime }-4 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
x^{\prime \prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.750 |
|
| 14990 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }&=-24 t -6-4 t \,{\mathrm e}^{-4 t}+{\mathrm e}^{-4 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14991 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.750 |
|
| 14992 |
\begin{align*}
y+y^{\prime }&=\operatorname {Heaviside}\left (t -10\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14993 |
\begin{align*}
x^{\prime }-x&=1 \\
x \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.750 |
|
| 14994 |
\begin{align*}
\left (x^{2}-2\right ) y^{\prime \prime }+2 y^{\prime }+y \sin \left (x \right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.751 |
|
| 14995 |
\begin{align*}
y^{\prime }&=z \\
z^{\prime }&=w \\
w^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.751 |
|
| 14996 |
\begin{align*}
t^{2} y^{\prime \prime }+t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.752 |
|
| 14997 |
\begin{align*}
y^{\prime }&=-\frac {8 x +5}{3 y^{2}+1} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.753 |
|
| 14998 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.753 |
|
| 14999 |
\begin{align*}
y^{\prime \prime }+k^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.754 |
|
| 15000 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=2 \left (-3+t \right ) \operatorname {Heaviside}\left (-3+t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.755 |
|