What is the solution for (dy)/(dx)=(cos(9x))/(e^{9y)} ?

The solution for (dy)/(dx)=(cos(9x))/(e^{9y)} is y=(ln(sin(9x)+c_{1}))/9

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(dy)/(dx)=(cos(9x))/(e^{9y)}

\frac{d y}{d x} = \frac{cos ( 9 x )}{e ^{9 y}}

y = \frac{ln ( sin ( 9 x ) + c _{1} )}{9}

Solution steps

\frac{d y}{d x} = \frac{cos ( 9 x )}{e ^{9 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 9 x ) + c _{1} )}{9}

y = \frac{ln ( sin ( 9 x ) + c _{1} )}{9}

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\int \frac{4 x ^{2} - 2}{x ^{3} - x} d x

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What is the solution for (dy)/(dx)=(cos(9x))/(e^{9y)} ?
The solution for (dy)/(dx)=(cos(9x))/(e^{9y)} is y=(ln(sin(9x)+c_{1}))/9