1. Consider the ODE y ln y 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. e. Using Euler method, approximate the solution at x= 3.0 using a step size h= 0.1 y w?7? d. What is the relative absolute error at X= 3.0 using a step size h=0.1? %Erras ??? e Repeat (c) and (d) using a step size h 0.05.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 11E
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Help me answer the question. Letter E only!!

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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