| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6901 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+y&=0 \\
y \left (2\right ) &= 1 \\
y^{\prime }\left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6902 |
\begin{align*}
x^{2} y^{\prime \prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6903 |
\begin{align*}
y-y^{\prime } x +{y^{\prime }}^{2}+y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.520 |
|
| 6904 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6905 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-18 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-9 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6906 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6907 |
\begin{align*}
y&=y^{\prime } x -{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6908 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }+2 x&=0 \\
x \left (1\right ) &= 0 \\
x^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6909 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= -3 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6910 |
\begin{align*}
y^{\prime \prime }-y&=2 x -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6911 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&={\mathrm e}^{-3 t} \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6912 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 6913 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 6914 |
\begin{align*}
y^{\prime \prime }&=2 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 6915 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+\left (2+x \right ) y^{\prime }+y&=0 \\
y \left (-1\right ) &= -2 \\
y^{\prime }\left (-1\right ) &= 3 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6916 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+{\mathrm e}^{t} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6917 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}+\frac {1}{4}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 6918 |
\begin{align*}
y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6919 |
\begin{align*}
-y+y^{\prime }&=1+{\mathrm e}^{t} t \\
y \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6920 |
\begin{align*}
t y^{\prime \prime }-\left (1+t \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 6921 |
\begin{align*}
16 x^{2} y^{\prime \prime }+4 x \left (2 x^{2}+x +6\right ) y^{\prime }+\left (18 x^{2}+5 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 6922 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-7 y&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6923 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-2 y&={\mathrm e}^{t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6924 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+5 x&=3 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6925 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }+3 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 6926 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6927 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-\frac {5 x_{2}}{2} \\
x_{2}^{\prime }&=\frac {9 x_{1}}{5}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6928 |
\begin{align*}
y_{1}^{\prime }&=-11 y_{1}+8 y_{2} \\
y_{2}^{\prime }&=-2 y_{1}-3 y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 6 \\
y_{2} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6929 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-y^{\prime } t +\alpha ^{2} y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6930 |
\begin{align*}
5 y^{\prime }-3 x^{\prime }-5 y&=5 t \\
3 x^{\prime }-5 y^{\prime }-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.522 |
|
| 6931 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\cos \left (x \right )+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6932 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6933 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6934 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=y \\
z^{\prime }&=z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6935 |
\begin{align*}
y^{\prime \prime \prime \prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= \frac {\sqrt {2}}{2} \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6936 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+6 y&=-2 \sin \left (3 x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6937 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+13 y&=-3 \,{\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6938 |
\begin{align*}
y^{\prime \prime \prime \prime }-81 y&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6939 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=81 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6940 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6941 |
\begin{align*}
y^{\prime \prime }+\cos \left (x \right ) y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6942 |
\begin{align*}
y^{\prime }&=t +3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6943 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6944 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 6945 |
\begin{align*}
y^{\prime \prime \prime \prime }+9 y^{\prime \prime }&=\left (x^{2}+1\right ) \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6946 |
\begin{align*}
\left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x^{2}+9\right ) y^{\prime }+\left (x^{2}+4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6947 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6948 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=9 \,{\mathrm e}^{-2 t} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -6 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6949 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6950 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6951 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=x^{2}+2 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6952 |
\begin{align*}
y^{\prime } t +y&=0 \\
y \left (1\right ) &= 5 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6953 |
\begin{align*}
y^{\prime }&=\sqrt {x^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6954 |
\begin{align*}
y^{\prime }-{\mathrm e}^{x} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6955 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6956 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-8 y&=32 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6957 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6958 |
\begin{align*}
3 t^{2} x-t x+\left (3 t^{3} x^{2}+t^{3} x^{4}\right ) x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6959 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6960 |
\begin{align*}
y^{\prime }&=\frac {1}{t^{2}-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6961 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6962 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.523 |
|
| 6963 |
\begin{align*}
y^{\prime } x +6 y&=3 x y^{{4}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6964 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right )+\cos \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6965 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=x \left ({\mathrm e}^{-x}-{\mathrm e}^{-2 x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6966 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=g \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6967 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+3 y^{\prime }+\frac {4 y}{x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 6968 |
\begin{align*}
y^{\prime }-\tan \left (x \right ) y+y^{2} \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6969 |
\begin{align*}
-2 y^{\prime }-\left (x +4\right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.524 |
|
| 6970 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-x_{2} \\
x_{2}^{\prime }&=4 x_{1}-2 x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6971 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6972 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+12 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6973 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+2 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2+3 \sqrt {2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6974 |
\begin{align*}
v^{\prime \prime }+\frac {2 v^{\prime }}{r}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6975 |
\begin{align*}
y^{\prime \prime \prime }-\frac {4 y^{\prime \prime }}{x}+\frac {5 y^{\prime }}{x^{2}}-\frac {2 y}{x^{3}}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6976 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+3 \left (x^{2}-3 x +2\right ) y^{\prime }+\left (x -2\right )^{2} x y&=0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6977 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime }-2 y&=2+x +x \,{\mathrm e}^{-x}+x^{2} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6978 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=25 t \,{\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.524 |
|
| 6979 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}-4 y_{2} \\
y_{2}^{\prime }&=-y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6980 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=2 y_{1}-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6981 |
\begin{align*}
y^{\prime }&=\frac {2}{\sqrt {-x^{2}+1}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6982 |
\begin{align*}
y+x^{3} y+2 x^{2}+\left (x +4 y^{4} x +8 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.525 |
|
| 6983 |
\begin{align*}
\left (x^{2}-25\right ) y^{\prime \prime }+2 y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6984 |
\begin{align*}
x^{2} {y^{\prime }}^{2}+y^{\prime } x -y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6985 |
\begin{align*}
y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.525 |
|
| 6986 |
\begin{align*}
x^{\prime }&=-x \\
y^{\prime }&=2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6987 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| 6988 |
\begin{align*}
\left (3 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+15 x \right ) y^{\prime }+12 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6989 |
\begin{align*}
x^{2} \left (1-2 x \right ) y^{\prime \prime }-x \left (5-4 x \right ) y^{\prime }+\left (9-4 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6990 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-x_{2}+2 x_{3}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{3}^{\prime }&=2 x_{1}+x_{2}+3 x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 6991 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6992 |
\begin{align*}
y y^{\prime }-2 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 6993 |
\begin{align*}
y^{\prime }&={\mathrm e}^{3 x}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6994 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6995 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=10 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6996 |
\begin{align*}
y^{\prime }&=\frac {\sqrt {x^{2}-16}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6997 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6998 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=-78 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| 6999 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+y \,{\mathrm e}^{2 x}&=x \,{\mathrm e}^{2 x}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|
| 7000 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime \prime } x -y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.526 |
|