) Write the IVP y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4 as a system of first order ODES in terms of y, = y and y2 = y'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve only c and d
2.a) Write the IVP
y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4
as a system of first order ODES in terms of y, = y and y, = y'
%3D
%3D
%3D
%3D
Transcribed Image Text:2.a) Write the IVP y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4 as a system of first order ODES in terms of y, = y and y, = y' %3D %3D %3D %3D
c) Give your numerical solution's value for y(10)
d) Find the absolute error in your numerical solution as the absolute difference between your result
here and in 1b above. How many correct digits does ode45 give for y(10) using default
tolerances? (rounding is OK to use)
e) Reset the tolerances for ode45 to get 6 correct digits in your numerical solution. Which setting
did you use?
Transcribed Image Text:c) Give your numerical solution's value for y(10) d) Find the absolute error in your numerical solution as the absolute difference between your result here and in 1b above. How many correct digits does ode45 give for y(10) using default tolerances? (rounding is OK to use) e) Reset the tolerances for ode45 to get 6 correct digits in your numerical solution. Which setting did you use?
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