Error Bounds for Euler's Method, finding M and L
Given the initial-value problem with exact solution Compute the value of h necessary for using this equation .
Solution so far.
I think L= 1 because is differentiable for every y, but I am not completely sure. Also I am unsure on how to find M. The textbook gives this relationship: . I found that the second derivative to be . I plugged in the highest t, 2, and the corresponding y, 18.6831. The y''(t) = 98.0102.
a = 1
h is the unknown.