2(b)

The equation is linear. The integrating factor is $\displaystyle\mu(x) = \exp \left(\int \frac{2\, dx}{x}\right) = x^2 $. The solution is

\begin{displaymath}y = \frac{1}{x^2} \left( \int \sin x \, dx + C \right) = \frac{C - \cos x}{x^2} \end{displaymath}



Robert Israel
2002-02-07