Important information about Initial value problems

Solve the initial value problems

a) t(dy/dt) + 5y = 7t w/ y(1) = 3

b) (dy/dt) + 0.1ty = 7t w/ y(0) = 4

c) 11(t+1)(dy/dt) - 7y = 28t for t > -1 w/ y(0) = 20

d) (dy/dt) + 2y = 25sin(t) + 30cos(t) y(0) = 1

e) (dy/dt) + 5y = cos(4t) w/ y(0) = 0

f) 9(dy/dt) + y = 18t w/ y(0) = 1 find y as a function of t

g) Find the function satisfying the differential equation f'(t) - f(t) = 4t w/ f(1) = -1

h) Find the particular solution of the differential equation (dy/dx) + ycos(x) = 6cos(x) w/ y(0) = 8