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JEE Math Practice Question

Let y = y(x) be the solution of the differential equation, xy'- y = x2(xcosx + sinx), x > 0. if y ($$\pi $$) = $$\pi $$ then $$y''\left( {{\pi \over 2}} \right) + y\left( {{\pi \over 2}} \right)$$ is equal to :

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

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