dy y+3 2) Consider the initial value problem y(0) = 2 dt t-4 = a) Use Euler's method with step size At = 0.5 to approximate y(1). b) Use Euler's method with step size At = 0.25 to approximate y(1). c) Find exact solution to the initial value problem and use it to compute the exact value of y(1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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dy y+3
2) Consider the initial value problem
y(0) = 2
dt
t-4
=
a) Use Euler's method with step size At = 0.5 to approximate y(1).
b) Use Euler's method with step size At = 0.25 to approximate y(1).
c) Find exact solution to the initial value problem and use it to compute the exact value of y(1).
d) Something strange should have happened in parts (a), (b), and (c). What is it and why is it
happening?
Transcribed Image Text:dy y+3 2) Consider the initial value problem y(0) = 2 dt t-4 = a) Use Euler's method with step size At = 0.5 to approximate y(1). b) Use Euler's method with step size At = 0.25 to approximate y(1). c) Find exact solution to the initial value problem and use it to compute the exact value of y(1). d) Something strange should have happened in parts (a), (b), and (c). What is it and why is it happening?
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