What is the solution for (dy)/(dx)=e^{5y}sin(6x) ?

The solution for (dy)/(dx)=e^{5y}sin(6x) is y=-(ln(5/6 cos(6x)-c_{1}))/5

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(dy)/(dx)=e^{5y}sin(6x)

\frac{d y}{d x} = e^{5 y} sin (6 x)

y = - \frac{ln ( \frac{5}{6} cos ( 6 x ) - c _{1} )}{5}

Solution steps

\frac{d y}{d x} = e^{5 y} sin (6 x)

Solve separable ODE:

y = - \frac{ln ( \frac{5}{6} cos ( 6 x ) - c _{1} )}{5}

y = - \frac{ln ( \frac{5}{6} cos ( 6 x ) - c _{1} )}{5}

\frac{d}{d x} (\frac{sin ( x )}{tan ( x ) + x})

d er i v a t i v e \frac{1}{( 3 x + 7 )}

t an g e n t \frac{1}{4 + 3 x}

\frac{d}{d x} (ln (x + a))

\int \frac{( 2 x + 1 )}{x + 4} d x

What is the solution for (dy)/(dx)=e^{5y}sin(6x) ?
The solution for (dy)/(dx)=e^{5y}sin(6x) is y=-(ln(5/6 cos(6x)-c_{1}))/5