Using Heun's Method, calculate y(0.4) for the following: 4 y -5x²y², y (0) = 1, h 0.2 P 1 The solution for this ODE is given by: y = (1+x) 5 Use 6 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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1.1
Using Heun's Method, calculate y(0.4) for the following:
y'
-5x¹y², y (0) = 1, h 0.2
1
The solution for this ODE is given by: y =
(1+x) 5
Use 6 decimal places.
0.989156
0.998400
0.985663
0.991815
Transcribed Image Text:Using Heun's Method, calculate y(0.4) for the following: y' -5x¹y², y (0) = 1, h 0.2 1 The solution for this ODE is given by: y = (1+x) 5 Use 6 decimal places. 0.989156 0.998400 0.985663 0.991815
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