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Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
&
Transcribed Image Text:File Edit View History Bookmarks Tools Window Help 95% Tue 12:08 AM UTF-8"Homework%205%281%29. poX + Content X http:://s3.us-east-1.amazonaws.com/blackboard.learn.xythos.prod/5a3683e2386d2/8115375? resp 1 of 1 Automatic Zoom 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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