1) For the initial value problem = 4 + 2 , (0) = 1 , use Euler's method to find a fourdecimal approximation to (0.5) using step size = 0.05. Also find the exact solution and construct a table showing , , the actual value, absolute error, and % relative error like those shown on p. 78 of your text.

2) Use the improved Euler's method with = 0.05 to approximate (0.5) to four decimal places for the initial value problem = 5 3 , (0) = 2.

3) Use RK4 with = 0.1 to approximate (0.5) to four decimal places for the initial value problem = 5 3 , (0) =2