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

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

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(dy)/(dx)=(sin(2x))/(e^y)

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

y = ln (- \frac{1}{2} cos (2 x) + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (- \frac{1}{2} cos (2 x) + c_{1})

y = ln (- \frac{1}{2} cos (2 x) + c_{1})

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