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

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

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

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

y = e^{e^{x^{2}} + c_{1}} - 1

Solution steps

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

Solve separable ODE:

y = e^{e^{x^{2}} + c_{1}} - 1

y = e^{e^{x^{2}} + c_{1}} - 1

y = 2 x^{2} + 1

\frac{d}{d x} (\frac{( x + 1 ) ^{3}}{3} + \frac{1}{4 x + 4})

3 x^{2} e^{x}

\int 2 sin (x) + x d x

\frac{d}{d x} (5 x + \frac{3}{x})

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