Since the integral y(x) = Sof(t) dt with variable upper limit satisfies (for continuous f) the initial value problem y' = f(x), y(0) = 0, %3D any numerical scheme that is used to approximate the solution at x = 1 will give an approximation to the definite integral %3D 1 f(t) dt . 0. Derive a formula for this approximation of the integral using Euler's method.
Since the integral y(x) = Sof(t) dt with variable upper limit satisfies (for continuous f) the initial value problem y' = f(x), y(0) = 0, %3D any numerical scheme that is used to approximate the solution at x = 1 will give an approximation to the definite integral %3D 1 f(t) dt . 0. Derive a formula for this approximation of the integral using Euler's method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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