Answer:
see attached
Explanation:
A differential equation solver says the exact solution is ...
y = 5/2 -14e^(-2x) +1/2e^(-4x)
The y-values computed by Euler's method will be ...
y = ∆x·y' = 0.1(5 - e^(-4x) -2y)
The attached table performs these computations and compares the result. The "difference" is the approximate value minus the exact value. (When the step size is decreased by a factor of 10, the difference over the same interval is decreased by about that same factor.)
