Question: (a) Use five steps of Euler's method to determine an approximate solution for the differential equation dy/dx = y-x with initial condition y(0) = 10, using step size Δx = 0.2. What is the estimated value of y at x = 1?
(b) Does the solution to the differential equation appear to be concave up or concave down?
(c) Are the approximate values overestimates or underestimates?