Question: (a) Use Euler's method to approximate the value of y at x = 1 on the solution curve to the differential equation dy/dx = 3 that passes through (0, 2). Use Δx = 0.2.
(b) What is the solution to the differential equation dy/dx = 3 with initial condition y = 2 when x = 0?
(c) What is the error for the Euler's method approximation at x = 1?
(d) Explain why Euler's method is exact in this case.