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

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

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

\frac{d y}{d x} = \frac{2 x}{e ^{2 y}}

y = \frac{ln ( 2 x ^{2} + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = \frac{2 x}{e ^{2 y}}

Solve separable ODE:

y = \frac{ln ( 2 x ^{2} + c _{1} )}{2}

y = \frac{ln ( 2 x ^{2} + c _{1} )}{2}

x^{2}, 2 x

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