What is the solution for (dy)/(dx)=y+4y*cos(2x) ?

The solution for (dy)/(dx)=y+4y*cos(2x) is y=e^{x+2sin(2x)+c_{1}}

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(dy)/(dx)=y+4y*cos(2x)

\frac{d y}{d x} = y + 4 y \cdot cos (2 x)

y = e^{x + 2 s i n (2 x) + c_{1}}

Solution steps

\frac{d y}{d x} = y + 4 y \cdot cos (2 x)

Solve separable ODE:

y = e^{x + 2 s i n (2 x) + c_{1}}

y = e^{x + 2 s i n (2 x) + c_{1}}

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x^{3} - 3 x^{2} + 5 x - 7, 0

What is the solution for (dy)/(dx)=y+4y*cos(2x) ?
The solution for (dy)/(dx)=y+4y*cos(2x) is y=e^{x+2sin(2x)+c_{1}}