(1) Use Euler's method to approximate the solution to the initial value d, problem dy : 3:2 + 3/2, 31(0) : 2, on the interval [0, 0.5] using h, : 0.1. a; Display your answers to three decimal places. (2) Use Euler's method to approximate the solution to the initial value problem dy : cry + 4 with y(0) : 3, on the interval [0,1] using 5 x subintervals. (3) Use Euler 8 method With h 0.1 to approximate y(1. 5) to 3 decimal (1 places, if y is a solution of the initial problem dy 1+ y With y(1): 0 x a: (11/ (4) Consider the initial value problem d : 41: + 3, y(1) : 0. a: (a) Use Euler's method with h : 0.1 to approximate y(1.5) to 3 decimal places. (b) Solve the initial value problem explicitely. (c) Using the solution found in in part (b), evaluate y(1.5), and write your answer to 3 decimal places. ((1) Compare the value of y(1.5) found in parts (a) and (c)