What is the solution for (dy)/(dx)=e^{2x}(1+y^2) ?

The solution for (dy)/(dx)=e^{2x}(1+y^2) is y=tan(1/2 e^{2x}+c_{1})

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(dy)/(dx)=e^{2x}(1+y^2)

\frac{d y}{d x} = e^{2 x} (1 + y^{2})

y = tan (\frac{1}{2} e^{2 x} + c_{1})

Solution steps

\frac{d y}{d x} = e^{2 x} (1 + y^{2})

Solve separable ODE:

y = tan (\frac{1}{2} e^{2 x} + c_{1})

y = tan (\frac{1}{2} e^{2 x} + c_{1})

y = 3 x^{2} + 5

\int \frac{2}{5 cos ^{2} ( x )} d x

\int sec (2 x) tan^{3} (2 x) d x

e^{\frac{x ^{2}}{2}}

\int_{0}^{\frac{π}{8}} sin^{2} (2 x) d x

What is the solution for (dy)/(dx)=e^{2x}(1+y^2) ?
The solution for (dy)/(dx)=e^{2x}(1+y^2) is y=tan(1/2 e^{2x}+c_{1})