JEE Math Practice Question

Let y = y(x) be the solution of the differential equation xdy = (y + x3 cosx)dx with y($$\pi$$) = 0, then $$y\left( {{\pi \over 2}} \right)$$ is equal to :

1. A.$${{{\pi ^2}} \over 4} + {\pi \over 2}$$
2. B.$${{{\pi ^2}} \over 2} + {\pi \over 4}$$
3. C.$${{{\pi ^2}} \over 2} - {\pi \over 4}$$
4. D.$${{{\pi ^4}} \over 4} - {\pi \over 2}$$