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.
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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