Find the solution of the given initial value problem:
2y′′′+26y′−232y=0
y(0)=7, y′(0)=38, y′′(0)=−233
Enclose arguments of functions in parentheses. For example,
sin(2x).
Euler’s method
Consider the initial-value problem y′ = −2y, y(0) = 1. The
analytic solution is y(x) = e−2x . (a) Approximate y(0.1) using one
step of Euler’s method. (b) Find a bound for the local truncation
error in y1 . (c) Compare the error in y1 with your error bound.
(d) Approximate y(0.1) using two steps of Euler’s method. (e)
Verify that the global truncation error for Euler’s method is O(h)
by comparing the errors in parts (a) and...