Differential equations In Exercises 27-42, find the solution y = y(x) to the given initial-value problem....

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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 that exercises involving differential equations are prefixed with the symbol.) 2 y' =x-2 =1 x -x-3 27. 28. y(0) = 3 y(-1) = 0 29. Jy' = 3x y(4) = 1 E330. Sy' = x 1/3 =1 y(0) = 5 *31. y' = Ax + Bx + C 32. Sy' = x 9/7 y(1) = 1 = COS X 33. *34. (/6) = 2 y(1) = -4 Sy' = sin(2x) (/2) = 1 63 63 E 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 that exercises involving differential equations are prefixed with the symbol.) 2 y' =x-2 =1 x -x-3 27. 28. y(0) = 3 y(-1) = 0 29. Jy' = 3x y(4) = 1 E330. Sy' = x 1/3 =1 y(0) = 5 *31. y' = Ax + Bx + C 32. Sy' = x 9/7 y(1) = 1 = COS X 33. *34. (/6) = 2 y(1) = -4 Sy' = sin(2x) (/2) = 1 63 63 E