Find the general solution for dy dy +2 + 4y = dr dx? e2= (1+ x²)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:a) Find the general solution for
dy
dy
+2-
+ 4y
dx?
dx
e2¤(1+ x²)*
b) Given an LC-circuit as
I
ď²q
L-
+äq =
dt² ™ Tª =
E, sin wt
where C is the capacitance, L is inductance, and E, is a constant. If
wo = and w # wo, show that the general solution for q(t) is given
by
%3D
q(t) = A coswot +B sin wot +
Eo
- sin wt
L(w – w²)
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