2. Repeat problem 1 with a step size of At = 0.1. Which step size gives better accuracy? 3. Now consider the IVP y'= sin(t2y + y³) + y, y(0) = 1. We cannot easily solve this problem by hand. Use forward Euler's method to approximate the solution on the time interval [0, 1] with a step size of At = 0.2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
Question

#3 please 

the arithmetic. Compare your approximate value for y(1) with the true value of y(1).
2. Repeat problem 1 with a step size of At = 0.1. Which step size gives better accuracy?
3. Now consider the IVP y = sin(t2y + y³) + y, y(0) = 1. We cannot easily solve this
problem by hand. Use forward Euler's method to approximate the solution on the time
interval [0, 1] with a step size of At = 0.2.
Transcribed Image Text:the arithmetic. Compare your approximate value for y(1) with the true value of y(1). 2. Repeat problem 1 with a step size of At = 0.1. Which step size gives better accuracy? 3. Now consider the IVP y = sin(t2y + y³) + y, y(0) = 1. We cannot easily solve this problem by hand. Use forward Euler's method to approximate the solution on the time interval [0, 1] with a step size of At = 0.2.
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