Consider the differential equation dxdy=x+y with initial condition y(0)=1. Let yE(0.4) be the approximation obtained using a uniform step size of h=0.2. The exact solution is y(x)=−x−1+2ex. What is the absolute error yE(0.4)−y(0.4)?
a) 0.066
b) 0.184
c) 0.104
d) 0.016