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First, rearrange the terms to isolate the dy term: xdy = -(y - x sin x)dx. Divide both sides by dx and then by x to get $dy/dx = -(y - x \sin x)/x$.

Conditions: The equation is a first-order differential equation.; x is not equal to zero, allowing division by x.

First, rearrange the terms to isolate the dy term: xdy = -(y - x sin x)dx. Divide both sides by dx and then by x to get $dy/dx = -(y - x \sin x)/x$.

Conditions: The equation is a first-order differential equation.; x is not equal to zero, allowing division by x.