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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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1. Find the general solution of each of the following differential equations. If the equation is exact, show it is
exact. If initial conditions are given, find the unique solution.
(a) y"- 4y 12y 3e5t
4
y, y(2) = -1
(b) yy
X
(c) y"y 3x + 5
324-4
(d) y
, y(1) = 3
2y 4
(e) y(4)-16y 0
(f) y(tan r)y = 4 cos2
sec
1
(g) y y VY
IC
(h) (2ry -9r2) dæ (2y+ x21) dy 0
dy
(1+ sec y
(i)
dx
2
P
GEP
10
FI
FYO
F8
F7
O00 FA
Fó
F5
&
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