What is the solution for e^{7y}dy=cos(7x)dx ?

The solution for e^{7y}dy=cos(7x)dx is y=(ln(sin(7x)+c_{1}))/7

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e^{7y}dy=cos(7x)dx

e^{7 y} d y = cos (7 x) d x

y = \frac{ln ( sin ( 7 x ) + c _{1} )}{7}

Solution steps

e^{7 y} d y = cos (7 x) d x

Solve separable ODE:

y = \frac{ln ( sin ( 7 x ) + c _{1} )}{7}

y = \frac{ln ( sin ( 7 x ) + c _{1} )}{7}

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\int \frac{( e ^{\frac{1}{x}} )}{x ^{2}} d x

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What is the solution for e^{7y}dy=cos(7x)dx ?
The solution for e^{7y}dy=cos(7x)dx is y=(ln(sin(7x)+c_{1}))/7