Y'+2y = 5-e^(-4x), y(0)=-11 Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution as x= 0.1, 0.2, 0.3, 0.4, and 0.5. Compare them to the exact values of the solution at these points.

  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.)

hey! im not 100 percent sure but im pretty sure that what you want to do is not possible : (

explanation: