What is the solution for (dy)/(dx)=(3cos(x))/(e^{2y)} ?

The solution for (dy)/(dx)=(3cos(x))/(e^{2y)} is y=(ln(6sin(x)+c_{1}))/2

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(dy)/(dx)=(3cos(x))/(e^{2y)}

\frac{d y}{d x} = \frac{3 cos ( x )}{e ^{2 y}}

y = \frac{ln ( 6 sin ( x ) + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = \frac{3 cos ( x )}{e ^{2 y}}

Solve separable ODE:

y = \frac{ln ( 6 sin ( x ) + c _{1} )}{2}

y = \frac{ln ( 6 sin ( x ) + c _{1} )}{2}

\int \frac{in x}{x} d x

y = - 2

\frac{\partial}{\partial x} (π x)

f^{^{''}} (x) = 6 x + 12 x^{2}

\int \frac{ln ( 19 x )}{x} d x

What is the solution for (dy)/(dx)=(3cos(x))/(e^{2y)} ?
The solution for (dy)/(dx)=(3cos(x))/(e^{2y)} is y=(ln(6sin(x)+c_{1}))/2