Question:
Part 1: Consider the subsequent initial value problem
2yy'=(y2+1)(t+1), y(0)=1
Part 2: Use Euler's Method to obtain approximate values of the solution at x = 0.5, 1, 1.5, and 2 and compare your numerical solutions with the exact solution found in (1):
(a) with h=0.2 (b) with h=0.1 (c) with h=0.05
Please show all your work and give an explanation of steps