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Given the initial value problem shown below: 2 dy dx ty2 ²₁x² + y²₁ y(1) = 31. Find the exact value of y(1.50) b. Estimate the value of y(1.5) using 1.2 Euler's method, RK2, RK4 at step sizes h = 0.5₁ h = 0.25 and h = 0.1

Given the initial value problem shown below: 2 dy dx ty2 ²₁x² + y²₁ y(1) = 31. Find the exact value of y(1.50) b. Estimate the value of y(1.5) using 1.2 Euler's method, RK2, RK4 at step sizes h = 0.5₁ h = 0.25 and h = 0.1

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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Given the initial value problem shown below: dy y (1) = 1.2 dx 2 +y² a. Find the exact value of y(1.50) b. Estimate the value of y(1.5) using Euler's method, RK2, RK4 at step sizes h = 0.5₁ h = 0.25 and h = 0₁1 C. Solve for the % et for each of the results.
Transcribed Image Text:Given the initial value problem shown below: dy y (1) = 1.2 dx 2 +y² a. Find the exact value of y(1.50) b. Estimate the value of y(1.5) using Euler's method, RK2, RK4 at step sizes h = 0.5₁ h = 0.25 and h = 0₁1 C. Solve for the % et for each of the results.
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