2) Consider the DE: (2xy - 6x²)dx + (x² + 9)dy = 0 A) Determine whether the DE is exact or not, then solve it. B) Given y(0) = 3, use Euler's method to obtain an approximation of y(0.2) using h = 0.2. C) Discuss the error of Euler's method based on your results of A and B.
2) Consider the DE: (2xy - 6x²)dx + (x² + 9)dy = 0 A) Determine whether the DE is exact or not, then solve it. B) Given y(0) = 3, use Euler's method to obtain an approximation of y(0.2) using h = 0.2. C) Discuss the error of Euler's method based on your results of A and B.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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