What is the solution for (dy)/(dx)=e^{4y}sin(5x) ?

The solution for (dy)/(dx)=e^{4y}sin(5x) is y=-(ln(4/5 cos(5x)-c_{1}))/4

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(dy)/(dx)=e^{4y}sin(5x)

\frac{d y}{d x} = e^{4 y} sin (5 x)

y = - \frac{ln ( \frac{4}{5} cos ( 5 x ) - c _{1} )}{4}

Solution steps

\frac{d y}{d x} = e^{4 y} sin (5 x)

Solve separable ODE:

y = - \frac{ln ( \frac{4}{5} cos ( 5 x ) - c _{1} )}{4}

y = - \frac{ln ( \frac{4}{5} cos ( 5 x ) - c _{1} )}{4}

\frac{\partial}{\partial x} (6 x + 4 y)

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

h \to \frac{π}{2} lim (\frac{( 1 - cos ( 3 h ) )}{h})

\int x csc (x^{2}) d x

What is the solution for (dy)/(dx)=e^{4y}sin(5x) ?
The solution for (dy)/(dx)=e^{4y}sin(5x) is y=-(ln(4/5 cos(5x)-c_{1}))/4