please answer:

HW01: Problem 26 Prev Up Next Solve the initial-value problem - du at 2tv = 3t'et, v(0) = 6. Answer: v(t) = HW01: Problem 27 Prev Up Next Find the function satisfying the differential equation y' - 2y = gest and y(0) = 1. y(t) = HW01: Problem 28 Prev Up Next Find the particular solution of the differential equation dy dx + y cos(x) = 3 cos(x) satisfying the initial condition y(0) = 5. Answer: y(a) = HW01: Problem 29 Prev Up Next Solve the differential equation y' t 5y I+ 8 = (x+8)3 where y = 3 when x = 0. y(z) = HW01: Problem 30 Prev Up Next Solve x" + x' = 2t with the initial conditions x (0) = -2 and x' (0) = 2. x(t) = Hint: Try substituting y = x