What is the solution for y^'=((cos(18x)))/((e^{(18*y)))} ?

The solution for y^'=((cos(18x)))/((e^{(18*y)))} is y=(ln(sin(18x)+c_{1}))/(18)

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y^'=((cos(18x)))/((e^{(18*y)))}

y^{^{'}} = \frac{( cos ( 18 x ) )}{( e ^{(18 \cdot y)} )}

y = \frac{ln ( sin ( 18 x ) + c _{1} )}{18}

Solution steps

y^{'} (x) = \frac{( cos ( 18 x ) )}{( e ^{(18 \cdot y)} )}

Solve separable ODE:

y = \frac{ln ( sin ( 18 x ) + c _{1} )}{18}

y = \frac{ln ( sin ( 18 x ) + c _{1} )}{18}

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What is the solution for y^'=((cos(18x)))/((e^{(18*y)))} ?
The solution for y^'=((cos(18x)))/((e^{(18*y)))} is y=(ln(sin(18x)+c_{1}))/(18)