Consider the following ordinary differential equation. It describes how things evolve in time and you are solving to t 0. +125 z (960 cos (t) + 580 sin (t))et+250 t dr2 with initial conditions glven by (0) = 11, (0) 23

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 part d and e
(d) Find the particular solution for the given ODE. Click the "P* icon to see
a plot of your response.
"p (t)-
(e) Find the TOTAL solution to the ordinary differential equation with initial
conditions, as given above in part (a) of the question.
Click the "P" icon to see a plot of your fesponse.
total ()
Transcribed Image Text:(d) Find the particular solution for the given ODE. Click the "P* icon to see a plot of your response. "p (t)- (e) Find the TOTAL solution to the ordinary differential equation with initial conditions, as given above in part (a) of the question. Click the "P" icon to see a plot of your fesponse. total ()
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
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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