(b) What are the two REAL homogeneous solutions to the ODE? Enter the two solutions separated by a comma. For example: sin(t),cos(t) When entering your response, please use Maple code-so use exp for the exponential function and not 'e". 8. sin (a) (c) Find the particular solution corresponding to the exponential term on the right hand side of the ODE.
(b) What are the two REAL homogeneous solutions to the ODE? Enter the two solutions separated by a comma. For example: sin(t),cos(t) When entering your response, please use Maple code-so use exp for the exponential function and not 'e". 8. sin (a) (c) Find the particular solution corresponding to the exponential term on the right hand side of the ODE.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve part a, b and c
Transcribed Image Text:(b) What are the two REAL homogeneous solutions to the ODE?
Enter the two solutions separated by a comma. For example: sin(t),cos(t)
When entering your response, please use Maple code-so use exp for the
exponential function and not 'e".
sin (a)
() Find the particular solution corresponding to the exponential term on
the right hand side of the ODE.
8.
Transcribed Image Text:Question 9
Consider the following ordinary differential equation. It describes how
things evolve in time and you are solving to t 0.
(960 cos (t) 580 sin(t))et+250t
+125 z =
dr2
with initial conditions glven by
(0) = 11, (0) = 23
As a guess for the homogenecous part of the solution, guess z ()-e.
)What is the characteristic equation for this ordinary differential
equation? Hint: use s when writing your characteristic equation.
sin (a)
dr
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