Use Euler’s method to approximate y(0.2), where y(x) is the solution of the initial-value problem y”-(2x + 1)y =1, y(0)=3, y'(0) ?=1. First use one step with h =0.2 and then repeat the calculations using two steps with h =0.1.
we shall rewrite this equation as folllows:
we then let
the recursive euler’s method is
starting with h=0.2;