Question

Let y = y (x) be the solution of the differential equation xdy = (y + x³ cosx)dx with y(π) = 0, then y(π/2) is equal to:

(1) π²/4 + π/2

(2) π²/2 + π/4

(3) π²/2 - π/4

(4) π²/4 - π/2

Answer 1

Answer is: (1) π²/4 + π/2