Q5.4 Let Lcg) be the following: (n-1) (4) Ly) =an you? (x) + an-ly² where the 4(y) = Ly) Ao, A, ) nth .. order 2 ан linear 2x Sẻ cosx xẻ 22 Suppose you know that: Ly)] = 3 zex when 2x L[Y₂ (x)] = 7e²* sinx when L[y₂ (x)] = 6 e ²x cos x when (x) + ... + a₁ y (x) + a₂ y(x) constants. Consider differential equation. are = = 6xe ²x 9, (x) 4₂(x) = 14e²x cos x 2x 93 (x) = 54e²* cos x + 108€ ²x sinx Find a particular solution to (*). Your answer should be a symbolic function of a contain any decimals. and must not
Q5.4 Let Lcg) be the following: (n-1) (4) Ly) =an you? (x) + an-ly² where the 4(y) = Ly) Ao, A, ) nth .. order 2 ан linear 2x Sẻ cosx xẻ 22 Suppose you know that: Ly)] = 3 zex when 2x L[Y₂ (x)] = 7e²* sinx when L[y₂ (x)] = 6 e ²x cos x when (x) + ... + a₁ y (x) + a₂ y(x) constants. Consider differential equation. are = = 6xe ²x 9, (x) 4₂(x) = 14e²x cos x 2x 93 (x) = 54e²* cos x + 108€ ²x sinx Find a particular solution to (*). Your answer should be a symbolic function of a contain any decimals. and must not
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
![Q5.4
Let Lcg)
(^)
4y) =an you? (x)
where
the
be the following:
(n-1)
nth
+
+ an-ly
Aos Air
order
Suppose you know
9
2x
I
4(y)
Ly) = sẻ cosxxẻ
xe
an
linear
2x
2x
that:
Ly()] = 3 xe
when
when
L[Y₂ (x)] = 7e²x sinxe
L[y₂ (x)] = 6e ²x cos x when
2x
our e
(x)
(*)
+
constants
Consider
differential equation
Find a particular solution
be a symbolic function of x
any decimals.
contain
any (x) + a₂ y(x)
ал
9, (х) = 6 же ча
в
4₂(x) = 14e²x cos x
уг
2x
22
93 (x) = 54e²x Cos x + 108€ ²³" sinxe
to (*). Your answer should
and must
not](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1fdb7ad-6b81-4220-b2ec-026d3971ebe5%2Fc91df886-9e93-4507-a43a-f2f3781a62fb%2Fqh0lxv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q5.4
Let Lcg)
(^)
4y) =an you? (x)
where
the
be the following:
(n-1)
nth
+
+ an-ly
Aos Air
order
Suppose you know
9
2x
I
4(y)
Ly) = sẻ cosxxẻ
xe
an
linear
2x
2x
that:
Ly()] = 3 xe
when
when
L[Y₂ (x)] = 7e²x sinxe
L[y₂ (x)] = 6e ²x cos x when
2x
our e
(x)
(*)
+
constants
Consider
differential equation
Find a particular solution
be a symbolic function of x
any decimals.
contain
any (x) + a₂ y(x)
ал
9, (х) = 6 же ча
в
4₂(x) = 14e²x cos x
уг
2x
22
93 (x) = 54e²x Cos x + 108€ ²³" sinxe
to (*). Your answer should
and must
not
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