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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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