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$dy/dx = y \sin x-2\sin x$, $y(0) = 0$ — Initial Value Problem
$$\frac{dy}{dx} = y\sin x - 2\sin x,\quad y(0) = 0$$
So, I get
$$\frac{1}{y-2} dy = \sin x dx.$$
Then, I integrated and got
$$\ln(y-2) =-\cos x + C.$$
Then, I did $e$^ both sides, but I end up with $\ln(-2)$ which is an error.
Can someone help me? Thank you.