What is the solution for (dy)/(dx)= 4/(x^2e^{2y)} ?

The solution for (dy)/(dx)= 4/(x^2e^{2y)} is y=(ln(-8/x+c_{1}))/2

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(dy)/(dx)= 4/(x^2e^{2y)}

\frac{d y}{d x} = \frac{4}{x ^{2} e ^{2 y}}

y = \frac{ln ( - \frac{8}{x} + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = \frac{4}{x ^{2} e ^{2 y}}

Solve separable ODE:

y = \frac{ln ( - \frac{8}{x} + c _{1} )}{2}

y = \frac{ln ( - \frac{8}{x} + c _{1} )}{2}

\int sin (x) d x

\frac{\partial}{\partial x} (6 x^{7} y^{4} + 2 x^{6} y^{8})

4 y^{3} + 7 x^{8} = 5 y + 6 x, (1, 1)

n = 1 \sum \infty (\frac{5}{2})^{n}

\frac{d}{d x} (\frac{( x ^{3} + 8 )}{2 x})^{7}

What is the solution for (dy)/(dx)= 4/(x^2e^{2y)} ?
The solution for (dy)/(dx)= 4/(x^2e^{2y)} is y=(ln(-8/x+c_{1}))/2