What is the solution for (dy)/(dx)=2sin(x)(y-1) ?

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

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(dy)/(dx)=2sin(x)(y-1)

\frac{d y}{d x} = 2 sin (x) (y - 1)

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

Solution steps

\frac{d y}{d x} = 2 sin (x) (y - 1)

Solve separable ODE:

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

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

\int (\frac{ln ( x )}{x})^{3} d x

4 x^{2} + 25

\frac{d x}{d t} = - 0.1 (x - 100 + 40 e^{- 0.1 t})

x \to 2 - lim (ln ∣ x - 2 ∣)

\int \frac{1}{x ^{2} - y ^{2}} d y

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