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Consider the ODE y iny dx - xdy = 0 With initial condition: y(2) =e a. Determine the general solution using appropriate analytical process. b. Find the particular solution using the given initial condition. c. Using Euler method, approximate the solution at X = 3.0 using a step size h = 0.1 y ???

Consider the ODE y iny dx - xdy = 0 With initial condition: y(2) =e a. Determine the general solution using appropriate analytical process. b. Find the particular solution using the given initial condition. c. Using Euler method, approximate the solution at X = 3.0 using a step size h = 0.1 y ???

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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1. Consider the ODE y in y dx – xdy = 0 With initial condition: y(2) a. Determine the general solution using appropriate analytical process. b. Find the particular solution using the given initial condition. c. Using Euler method, approximate the solution at x = 3.0 using a step size h = 0.1 y w??? d. What is the relative absolute error at X= 3.0 using a step size h = 0.1? %Errabs =??? e. Repeat (c) and (d) using a step size h = 0.05. f. Repeat (c) and (d) using a step size h= 0.025. g. What can you conclude from the results in (d), (e) and (f)?
Transcribed Image Text:1. Consider the ODE y in y dx – xdy = 0 With initial condition: y(2) a. Determine the general solution using appropriate analytical process. b. Find the particular solution using the given initial condition. c. Using Euler method, approximate the solution at x = 3.0 using a step size h = 0.1 y w??? d. What is the relative absolute error at X= 3.0 using a step size h = 0.1? %Errabs =??? e. Repeat (c) and (d) using a step size h = 0.05. f. Repeat (c) and (d) using a step size h= 0.025. g. What can you conclude from the results in (d), (e) and (f)?
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