Find the general solution of the following ODE d²x dt² dx 4 = 3-e4t dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 44E
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Find the general solution of the following ODE
d²x
dt²
-
dx
4-
dt
= 3-
-
=
e4t
Transcribed Image Text:Find the general solution of the following ODE d²x dt² - dx 4- dt = 3- - = e4t
Stebry
ур
the particular
ур =
1
D(D-4)
1
D (D-4)
3
3
mla
01
-4 D
x 3
3 t
q
-4)
-
(3-e²t)
-
-
ot
e
D(0-4) (5-4)
It
Solution
-
47
te
4
D(0-4)
I te
4
(D-4) D
e
44
It
x.
q
1
99
(D-a)
сах
them a
хза
Transcribed Image Text:Stebry ур the particular ур = 1 D(D-4) 1 D (D-4) 3 3 mla 01 -4 D x 3 3 t q -4) - (3-e²t) - - ot e D(0-4) (5-4) It Solution - 47 te 4 D(0-4) I te 4 (D-4) D e 44 It x. q 1 99 (D-a) сах them a хза
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