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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Question
I don't understand the answer of the particular solution part. I need the explanation in more detail
![Find the general solution of the following ODE
d²x
dt²
-
dx
4-
dt
= 3-
-
=
e4t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc321a7-0572-4d50-a9f3-8afbf4260389%2Fc504e32c-ece3-47e1-b593-bfc7c1399945%2Fchhxage_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc321a7-0572-4d50-a9f3-8afbf4260389%2Fc504e32c-ece3-47e1-b593-bfc7c1399945%2F4f1ien9_processed.jpeg&w=3840&q=75)
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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