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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8125e78e-cb90-4f62-b2bd-c75f18dfa9c3%2F76389be3-ea3a-4192-ba4c-8a9476d6290c%2Fn8doffk_processed.png&w=3840&q=75)
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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