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

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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i=1 for manual computation

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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