1. Solve the initial value problem dy + y sint = 0 dt subject to a. y(0) = 1/2 a. y(2) = 1/2 2. Solve the initial value problem dt dy + 3y = 10;y(1) = 2, assuming t > 0 3. Find the general solution of the differential equation on the restricted domain. dy t + y = vt assuming t > 0 dt