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

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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
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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