What is the solution for (dy)/(dx)=(cos(10x))/(e^{10y)} ?

The solution for (dy)/(dx)=(cos(10x))/(e^{10y)} is y=(ln(sin(10x)+c_{1}))/(10)

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(dy)/(dx)=(cos(10x))/(e^{10y)}

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

Solution steps

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

What is the solution for (dy)/(dx)=(cos(10x))/(e^{10y)} ?
The solution for (dy)/(dx)=(cos(10x))/(e^{10y)} is y=(ln(sin(10x)+c_{1}))/(10)