What is the solution for (dy)/(dx)=e^{3y}sin(4x) ?

The solution for (dy)/(dx)=e^{3y}sin(4x) is y=-(ln(3/4 cos(4x)-c_{1}))/3

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(dy)/(dx)=e^{3y}sin(4x)

\frac{d y}{d x} = e^{3 y} sin (4 x)

y = - \frac{ln ( \frac{3}{4} cos ( 4 x ) - c _{1} )}{3}

Solution steps

\frac{d y}{d x} = e^{3 y} sin (4 x)

Solve separable ODE:

y = - \frac{ln ( \frac{3}{4} cos ( 4 x ) - c _{1} )}{3}

y = - \frac{ln ( \frac{3}{4} cos ( 4 x ) - c _{1} )}{3}

n = 0 \sum \infty \frac{1}{n ^{2} + 2 n}

\int \frac{5000 x}{25 x + 1500} d x

x \to 0 lim (\frac{1}{4 x})

\frac{d}{d x} (cos (2 x + 5))

\frac{d}{d x} (\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}})

What is the solution for (dy)/(dx)=e^{3y}sin(4x) ?
The solution for (dy)/(dx)=e^{3y}sin(4x) is y=-(ln(3/4 cos(4x)-c_{1}))/3