Differential equations In Exercises 27-42, find the solution y = y(x) to the given initial-value problem. On what interval is the solution valid? (Note E3 that exercises involving differential equations are prefixed with the symbol Ek .) EK y' = x- 2 V = x -x-3 EK 27. EK 28. ()(0) = 3 ly (-1) =0 EK 29. y' = 3 Vx y =x1/3 EK 30. ( ) (4) = 1 ( )(0) = 5 EK 31. y' = Ax2 + Bx + C EK 32. y = X-9/7 ( x(1) = 1 y (1) = -4 EK 33. y = COS X (7/ 6) = 2 EK 34. y' = sin(2x) y ( 1 /2) = 1