Let L(y) = any)(x) + an−1 y − ¹)(x) +...+ ₁y'(x) + y(x) where an, a₁,..., a, are fixed constants. Consider the nth order linear differential equation L(y) = 3ex cos x+8xex (*) Suppose that it is known that L[v₁(x)] = 11xe⁹x when y(x) = 55xe⁹x L[12(x)] = 4e⁹x sinx when y2(x) = 40e⁹x cos.x L[v3(x)] = Sex cosx when y3(x) = 30e⁹x cos x + 150ex sin.x Find a particular solution to (*).
Let L(y) = any)(x) + an−1 y − ¹)(x) +...+ ₁y'(x) + y(x) where an, a₁,..., a, are fixed constants. Consider the nth order linear differential equation L(y) = 3ex cos x+8xex (*) Suppose that it is known that L[v₁(x)] = 11xe⁹x when y(x) = 55xe⁹x L[12(x)] = 4e⁹x sinx when y2(x) = 40e⁹x cos.x L[v3(x)] = Sex cosx when y3(x) = 30e⁹x cos x + 150ex sin.x Find a particular solution to (*).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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![Problem #2: Let
L(y) = any)(x) + an-13
y(n − 1)(x) ++ [₁ y(x) + y(x)
where do, al
L(y) 3ex cos x + 8xeºx (*)
Suppose that it is known that
L[v₁(x)] = 11xg⁹x
L[12(x)] = 4e⁹x sin.x
L[y3(x)]
Se⁹x cos x
Find a particular solution to (*).
a,, are fixed constants. Consider the nth order linear differential equation
when y(x)
55xe⁹x
when y(x) = 40e⁹x cos x
when y3(x)
30e⁹x cos x + 150€⁹x sin.x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5092d283-37fd-4762-962c-92db43347004%2F0c2fad25-e8c1-4bd4-b167-71a6b0e53eb7%2Fyosxlud_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #2: Let
L(y) = any)(x) + an-13
y(n − 1)(x) ++ [₁ y(x) + y(x)
where do, al
L(y) 3ex cos x + 8xeºx (*)
Suppose that it is known that
L[v₁(x)] = 11xg⁹x
L[12(x)] = 4e⁹x sin.x
L[y3(x)]
Se⁹x cos x
Find a particular solution to (*).
a,, are fixed constants. Consider the nth order linear differential equation
when y(x)
55xe⁹x
when y(x) = 40e⁹x cos x
when y3(x)
30e⁹x cos x + 150€⁹x sin.x
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