What is the solution for (dy)/(dx)=(cos(8x))/(e^{8y)} ?

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

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(dy)/(dx)=(cos(8x))/(e^{8y)}

\frac{d y}{d x} = \frac{cos ( 8 x )}{e ^{8 y}}

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

Solution steps

\frac{d y}{d x} = \frac{cos ( 8 x )}{e ^{8 y}}

Solve separable ODE:

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

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

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