What is the solution for (dy)/(dx)=(cos(6x))/(e^{6y)} ?

The solution for (dy)/(dx)=(cos(6x))/(e^{6y)} is y=(ln(sin(6x)+c_{1}))/6

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(dy)/(dx)=(cos(6x))/(e^{6y)}

\frac{d y}{d x} = \frac{cos ( 6 x )}{e ^{6 y}}

y = \frac{ln ( sin ( 6 x ) + c _{1} )}{6}

Solution steps

\frac{d y}{d x} = \frac{cos ( 6 x )}{e ^{6 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 6 x ) + c _{1} )}{6}

y = \frac{ln ( sin ( 6 x ) + c _{1} )}{6}

\frac{d y}{d x} = \frac{3 x}{y + x ^{2} y}

\frac{\partial}{\partial x} (\frac{x - y}{x ^{2} + y ^{2}})

\int \frac{1 - x}{x ^{2} + 3 x + 2} d x

\frac{d}{d x} (x e^{x} sin (2 x))

\int (5 x^{4} + 3 x^{3} - 2) d x

What is the solution for (dy)/(dx)=(cos(6x))/(e^{6y)} ?
The solution for (dy)/(dx)=(cos(6x))/(e^{6y)} is y=(ln(sin(6x)+c_{1}))/6