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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d t} (\frac{d x}{d t}) + \frac{d}{d t} x + 2 x = t^{3}

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 3

\int \frac{1}{( e ^{- x} + 1 )} d x

\int (- 4 x^{3} - 8 x^{2} - 4) d x

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

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