What is the solution for (dy)/(dx)=2sin(x)(y-3) ?

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

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(dy)/(dx)=2sin(x)(y-3)

\frac{d y}{d x} = 2 sin (x) (y - 3)

y = e^{- 2 c o s (x) + c_{1}} + 3

Solution steps

\frac{d y}{d x} = 2 sin (x) (y - 3)

Solve separable ODE:

y = e^{- 2 c o s (x) + c_{1}} + 3

y = e^{- 2 c o s (x) + c_{1}} + 3

\frac{d}{d x} (\frac{3}{2 3 x + 1})

x \to 0 lim (4 cos (2 x))

y^{^{''}} - y^{^{'}} = 6 x e^{x}

x \to 0 lim (x^{3} - 3 x^{2} + 2 x - 3)

2 y^{^{''}} - 32 y = 0

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