1. Consider the following Initial Value Problems (IVPs). dy + 2ty = te-t y(0) = 1. dy dt - y = 2, y/(0) =0. dy = Vay, 1/(0) =0. dy dt = 2t - 3y, y/(O)= (a) The slope fields of some of the IVP's are given below. Match each IVP with its slope field. Sketch the missing slope field. 10. 10 (b) Identify the IVP's that can be solved by using "integrating factor" method. Find the exact solution to each of the IVP's you have identified. (c) Use Euler's method to approximate the solution to each of the given IVI's on the interval [0, 3] with step size h = 0.5