| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 18901 |
\begin{align*}
y^{\prime }&=y^{2}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.677 |
|
| 18902 |
\begin{align*}
6 x y^{2}+4 x^{3}+3 \left (2 x^{2} y+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.678 |
|
| 18903 |
\begin{align*}
y^{\prime }&=\sqrt {-x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.679 |
|
| 18904 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=0 \\
y \left (2\right ) &= 0 \\
y^{\prime }\left (2\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.680 |
|
| 18905 |
\begin{align*}
a \csc \left (x \right )^{2} y+\left (2+\cos \left (x \right )\right ) \csc \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.681 |
|
| 18906 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=\cos \left (x \right )+2 \delta \left (x -\pi \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.681 |
|
| 18907 |
\begin{align*}
2 x \left (-1+x \right ) y^{\prime }+y^{2} \left (-1+x \right )-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.684 |
|
| 18908 |
\begin{align*}
4 y^{3} {y^{\prime }}^{2}-4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.684 |
|
| 18909 |
\begin{align*}
y^{\prime } x +2 y&=6 \sqrt {y}\, x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.687 |
|
| 18910 |
\begin{align*}
2 x y^{\prime \prime } y^{\prime \prime \prime }&=-a^{2}+{y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.687 |
|
| 18911 |
\begin{align*}
3 y^{\prime }+y x&={\mathrm e}^{-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.688 |
|
| 18912 |
\begin{align*}
y^{\prime \prime }+9 y&=2 \sin \left (3 x \right )+4 \sin \left (x \right )-26 \,{\mathrm e}^{-2 x}+27 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.690 |
|
| 18913 |
\begin{align*}
y^{\prime }&=3 y \left (1-y\right ) \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
6.690 |
|
| 18914 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -4 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.691 |
|
| 18915 |
\begin{align*}
y^{\prime }&=-x +y \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.691 |
|
| 18916 |
\begin{align*}
y^{\prime }&=a \ln \left (x \right )^{k} \left (y-b \,x^{n}-c \right )^{2}+b n \,x^{n -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.694 |
|
| 18917 |
\begin{align*}
x^{\prime \prime }-x&=0 \\
x \left (0\right ) &= 0 \\
x \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.698 |
|
| 18918 |
\begin{align*}
x^{2} y^{\prime \prime }+5 y^{\prime } x +3 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= -5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.701 |
|
| 18919 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=0 \\
y \left (1\right ) &= 0 \\
y \left (2\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.702 |
|
| 18920 |
\begin{align*}
{\mathrm e}^{y}-2 t y+\left (t \,{\mathrm e}^{y}-t^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
6.704 |
|
| 18921 |
\begin{align*}
y^{\prime }&=t^{2}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.707 |
|
| 18922 |
\begin{align*}
y^{\prime }&=\frac {y^{3}-3 x y^{2}+3 x^{2} y-x^{3}+x}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.707 |
|
| 18923 |
\begin{align*}
y+y^{\prime }&=y^{2} {\mathrm e}^{-t} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.709 |
|
| 18924 |
\begin{align*}
3 \left (x^{2}-1\right ) y+\left (x^{3}+8 y-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.710 |
|
| 18925 |
\begin{align*}
y^{\prime } \cos \left (y\right )&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.710 |
|
| 18926 |
\begin{align*}
L i^{\prime }+R i&=E \sin \left (2 t \right ) \\
i \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.711 |
|
| 18927 |
\begin{align*}
\left (-1+x \right ) y^{\prime }+3 y&=\frac {1}{\left (-1+x \right )^{3}}+\frac {\sin \left (x \right )}{\left (-1+x \right )^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.713 |
|
| 18928 |
\begin{align*}
a y+b x y+\left (c x +d x y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.714 |
|
| 18929 |
\begin{align*}
x \left (c \,x^{2}+b x +a \right ) y^{\prime }+x^{2}-\left (c \,x^{2}+b x +a \right ) y&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.719 |
|
| 18930 |
\begin{align*}
y^{\prime }&=\frac {\left (x^{{3}/{2}}+2 F \left (y-\frac {x^{3}}{6}\right )\right ) \sqrt {x}}{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.719 |
|
| 18931 |
\begin{align*}
3 x^{2}+y+3 x^{3} y+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.720 |
|
| 18932 |
\begin{align*}
y^{\prime }&=x^{2}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.722 |
|
| 18933 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.722 |
|
| 18934 |
\begin{align*}
y^{\prime }&=\frac {y}{t^{2}}+4 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.722 |
|
| 18935 |
\begin{align*}
y^{\prime }-2 y x&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.723 |
|
| 18936 |
\begin{align*}
x^{2} y^{\prime }&=2 x^{2}+y^{2}+4 y x \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.724 |
|
| 18937 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\sin \left (x \right )^{2}-\cos \left (x \right )\right ) y^{\prime }}{\sin \left (x \right )}-y \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.724 |
|
| 18938 |
\begin{align*}
y^{\prime }&=-F \left (x \right ) \left (x^{2}+2 y x -y^{2}\right )+\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.725 |
|
| 18939 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right ) \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.725 |
|
| 18940 |
\begin{align*}
y^{\prime }&=\sqrt {{| y|}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.726 |
|
| 18941 |
\begin{align*}
{y^{\prime }}^{3}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right )^{2} \left (y-c \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.728 |
|
| 18942 |
\begin{align*}
y^{\prime }&=\frac {y^{2}+2 y x +x^{2}+{\mathrm e}^{-2 \left (x -y\right ) \left (x +y\right )}}{y^{2}+2 y x +x^{2}-{\mathrm e}^{-2 \left (x -y\right ) \left (x +y\right )}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.728 |
|
| 18943 |
\begin{align*}
y^{\prime }&=-\frac {\left (-8 \,{\mathrm e}^{-x^{2}}+8 x^{2} {\mathrm e}^{-x^{2}}-8-8 y^{2}+8 x^{2} {\mathrm e}^{-x^{2}} y-2 \,{\mathrm e}^{-2 x^{2}} x^{4}-8 y^{3}+12 x^{2} {\mathrm e}^{-x^{2}} y^{2}-6 \,{\mathrm e}^{-2 x^{2}} x^{4} y+{\mathrm e}^{-3 x^{2}} x^{6}\right ) x}{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.728 |
|
| 18944 |
\begin{align*}
2 y+y^{\prime }&=20 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.730 |
|
| 18945 |
\begin{align*}
r^{\prime }&=c \\
r \left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.730 |
|
| 18946 |
\begin{align*}
y^{\prime }&=-y^{2}+y x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.734 |
|
| 18947 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.734 |
|
| 18948 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.737 |
|
| 18949 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}+2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.740 |
|
| 18950 |
\begin{align*}
\left (1+t \right ) x^{\prime }+x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.742 |
|
| 18951 |
\begin{align*}
x^{2} y^{\prime }&=y^{2}+3 y x +x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.743 |
|
| 18952 |
\begin{align*}
{y^{\prime }}^{2}-4 y^{3}+a y+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.743 |
|
| 18953 |
\begin{align*}
y^{\prime }&=x^{2}-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.747 |
|
| 18954 |
\begin{align*}
y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.747 |
|
| 18955 |
\begin{align*}
y^{\prime }-\sin \left (x \right ) y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.748 |
|
| 18956 |
\begin{align*}
y^{\prime }+\tan \left (x \right ) y&=\cos \left (x \right )^{2} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.749 |
|
| 18957 |
\begin{align*}
y+y^{\prime }&=\cos \left (2 t \right )+3 \sin \left (2 t \right )+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.749 |
|
| 18958 |
\begin{align*}
\left (t +3\right ) \cos \left (y+t \right )+\sin \left (y+t \right )+\left (t +3\right ) \cos \left (y+t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.749 |
|
| 18959 |
\begin{align*}
y^{\prime }&=\frac {\left (1+\cos \left (4 t \right )\right ) y}{4}-\frac {\left (1-\cos \left (4 t \right )\right ) y^{2}}{800} \\
y \left (0\right ) &= 100 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.750 |
|
| 18960 |
\begin{align*}
t^{2} x^{\prime \prime }+t x^{\prime }-x&=0 \\
x \left (1\right ) &= 1 \\
x^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.754 |
|
| 18961 |
\begin{align*}
y^{\prime } \cos \left (y\right )&={\mathrm e}^{-x}-\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.756 |
|
| 18962 |
\begin{align*}
y^{\prime }&=\frac {1}{y-2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.757 |
|
| 18963 |
\begin{align*}
y^{\prime }&=x \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.757 |
|
| 18964 |
\begin{align*}
2 y&=\left (y^{4}+x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.759 |
|
| 18965 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-x \left (x -2 y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.759 |
|
| 18966 |
\begin{align*}
4 x -2 y y^{\prime }+x {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.761 |
|
| 18967 |
\begin{align*}
y^{\prime \prime }+x^{6} y^{\prime }+7 y x^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.761 |
|
| 18968 |
\begin{align*}
p^{\prime }&=15-20 p \\
p \left (0\right ) &= {\frac {7}{10}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.761 |
|
| 18969 |
\begin{align*}
y^{\prime }&=2 y^{2}+x y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.772 |
|
| 18970 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.772 |
|
| 18971 |
\begin{align*}
1+y+\left (1-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.773 |
|
| 18972 |
\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*} |
✓ |
✓ |
✓ |
✓ |
6.773 |
|
| 18973 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.774 |
|
| 18974 |
\begin{align*}
y^{\prime }&=2-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.774 |
|
| 18975 |
\begin{align*}
y^{\prime } x&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.776 |
|
| 18976 |
\begin{align*}
y^{\prime } x&=y+x \cos \left (\frac {y}{x}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.776 |
|
| 18977 |
\begin{align*}
y^{\prime }&=\frac {\left (\ln \left (y\right )+x +x^{3}+x^{4}\right ) y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.779 |
|
| 18978 |
\begin{align*}
5 {y^{\prime }}^{2}+3 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.779 |
|
| 18979 |
\begin{align*}
y^{\prime } x&=y \left (2 y x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.782 |
|
| 18980 |
\begin{align*}
-\frac {6 y^{\prime } x}{\left (3 x^{2}+1\right )^{2}}+\frac {y^{\prime \prime }}{3 x^{2}+1}+\lambda \left (3 x^{2}+1\right ) y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.787 |
|
| 18981 |
\begin{align*}
\ln \left (x \right ) y^{\prime \prime }-\sin \left (x \right ) y&=0 \\
y \left ({\mathrm e}\right ) &= {\mathrm e}^{-1} \\
y^{\prime }\left ({\mathrm e}\right ) &= 0 \\
\end{align*}
Series expansion around \(x={\mathrm e}\). |
✓ |
✓ |
✓ |
✓ |
6.787 |
|
| 18982 |
\begin{align*}
y y^{\prime } x&=x^{2}+3 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.789 |
|
| 18983 |
\begin{align*}
\left (\left (-y+a \right ) \left (-y+b \right )+\left (-y+a \right ) \left (c -y\right )+\left (-y+b \right ) \left (c -y\right )\right ) {y^{\prime }}^{2}+2 \left (-y+a \right ) \left (-y+b \right ) \left (c -y\right ) y^{\prime \prime }&=\operatorname {a3} \left (-y+a \right )^{2} \left (-y+b \right )^{2}+2 \operatorname {a2} \left (-y+a \right )^{2} \left (c -y\right )^{2}+\operatorname {a1} \left (-y+b \right )^{2} \left (c -y\right )^{2}+\operatorname {a0} \left (-y+a \right )^{2} \left (-y+b \right )^{2} \left (c -y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.792 |
|
| 18984 |
\begin{align*}
y^{\prime }-y x&=x \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.792 |
|
| 18985 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.792 |
|
| 18986 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\sin \left (x^{2}\right ) \\
y \left (-1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.792 |
|
| 18987 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{y^{2}-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.793 |
|
| 18988 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.795 |
|
| 18989 |
\begin{align*}
\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=x \sin \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.799 |
|
| 18990 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+y x -x \left (x^{2}+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.804 |
|
| 18991 |
\begin{align*}
3 y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}+4 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.807 |
|
| 18992 |
\begin{align*}
y^{\prime \prime }-9 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.808 |
|
| 18993 |
\begin{align*}
y&=y^{\prime } x +\ln \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.809 |
|
| 18994 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.810 |
|
| 18995 |
\begin{align*}
{y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{3} \left (y-c \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.816 |
|
| 18996 |
\begin{align*}
y^{\prime }+2 y&=6 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.817 |
|
| 18997 |
\begin{align*}
y^{\prime }-2 y x&=6 x \,{\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.819 |
|
| 18998 |
\begin{align*}
y^{\prime }&=2-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.819 |
|
| 18999 |
\begin{align*}
y^{\prime } x +y&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.822 |
|
| 19000 |
\begin{align*}
y^{\prime }&=\sec \left (y\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.823 |
|