Find the general solution of this ODE: d?y dy + 4- + 3y = 5t2 – 9 + 8e-7t dt? dt The solution will be of the form: y(t) = Cyi (t) + Dy2(t) + Yp(t) so use C and D as the arbitrary constants. a) The general solution is y(t) %3D b) Show your work!

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 4
<>
Find the general solution of this ODE:
d²y
dy
+ 4-
+3y = 5t2 – 9 + 8e
7t
-
dt?
dt
The solution will be of the form:
y(t) = Cy1(t) + Dy2(t) + Yp(t)
so use C and D as the arbitrary constants.
a) The general solution is
y(t)
b) Show your work!
Transcribed Image Text:Question 4 <> Find the general solution of this ODE: d²y dy + 4- +3y = 5t2 – 9 + 8e 7t - dt? dt The solution will be of the form: y(t) = Cy1(t) + Dy2(t) + Yp(t) so use C and D as the arbitrary constants. a) The general solution is y(t) b) Show your work!
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