What is the solution for y^'-sin(x)*y=3sin(x) ?

The solution for y^'-sin(x)*y=3sin(x) is y=e^{-cos(x)+c_{1}}-3

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y^'-sin(x)*y=3sin(x)

y^{^{'}} - sin (x) \cdot y = 3 sin (x)

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

Solution steps

y^{'} (x) - sin (x) \cdot y = 3 sin (x)

Solve separable ODE:

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

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

\frac{d y}{d t} = \frac{t ^{2}}{1 + y ^{2}}, y (0) = 1

y^{2} y^{^{'}} = (1 + y^{3}) cos (x)

\frac{d y}{d t} = y (y - 1)

(x y + y^{2}) d x - (x^{2} + x y) d y = 0

y^{^{'}} = \frac{x ^{4}}{y ^{2}}

What is the solution for y^'-sin(x)*y=3sin(x) ?
The solution for y^'-sin(x)*y=3sin(x) is y=e^{-cos(x)+c_{1}}-3