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Question 2 s] Let y = f(x) be the solution to the initial-value problem dy -3z + 2y dz with the initial condition f(1) = 0.5. (a) Use the Euler's method to approximate f(1.3) with the step size h = 0.1. (b) The solution of the given IVP is 3 7e2- 2z-2 f(z): Find the difference between the exact value f(1.3) and its approximation found in Part (a).

Question 2 s] Let y = f(x) be the solution to the initial-value problem dy -3z + 2y dz with the initial condition f(1) = 0.5. (a) Use the Euler's method to approximate f(1.3) with the step size h = 0.1. (b) The solution of the given IVP is 3 7e2- 2z-2 f(z): Find the difference between the exact value f(1.3) and its approximation found in Part (a).

Advanced Engineering Mathematics
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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Question 2 s] Let y = f() be the solution to the initial-value problem dy -3x + 2y dz with the initial condition f(1) = 0.5. (a) Use the Euler's method to approximate f(1.3) with the step size h = 0.1. (b) The solution of the given IVP is 7e2-2 f(z) = 4 4 Find the difference between the exact value f(1.3) and its approximation found in Part (a).
Transcribed Image Text:Question 2 s] Let y = f() be the solution to the initial-value problem dy -3x + 2y dz with the initial condition f(1) = 0.5. (a) Use the Euler's method to approximate f(1.3) with the step size h = 0.1. (b) The solution of the given IVP is 7e2-2 f(z) = 4 4 Find the difference between the exact value f(1.3) and its approximation found in Part (a).
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