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Consider, dy -5 y=e5x², dx a) Find an appropriate substitution and turn it into the linear equation form. b) Find the solution for y(0) = 3. c) Use Euler's method to obtain a four-decimal approximation for y(1) by using h = 0.25, and comparing it with your result in b)

Consider, dy -5 y=e5x², dx a) Find an appropriate substitution and turn it into the linear equation form. b) Find the solution for y(0) = 3. c) Use Euler's method to obtain a four-decimal approximation for y(1) by using h = 0.25, and comparing it with your result in b)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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Consider, -5 y=e5x₁², dy dx a) Find an appropriate substitution and turn it into the linear equation form. b) Find the solution for y(0) = 3. c) Use Euler's method to obtain a four-decimal approximation for y(1) by using h = 0.25, and comparing it with your result in b)
Transcribed Image Text:Consider, -5 y=e5x₁², dy dx a) Find an appropriate substitution and turn it into the linear equation form. b) Find the solution for y(0) = 3. c) Use Euler's method to obtain a four-decimal approximation for y(1) by using h = 0.25, and comparing it with your result in b)
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