Let L(y) = anym)(x) + an – 1 y(n – 1)(x) + ·…· + a1 y'(x) + ao y(x) - where ao, a1, ,an are fixed constants. Consider the nth order linear differential equation .... L(y) = 2e8x cos x + 4xe8x (*) Suppose that it is known that L[y1(x)] = 6xe&x L[y2(x)] = 5e8x sin x L[y3(x)] = 5e8x cos x when yı(x) = 36xe8x when y2(x) = 10e8x cos x when y3(x) = 20e8x cos x + 100e8* sin x %3D %3D %3D Find a particular solution to (*).
Let L(y) = anym)(x) + an – 1 y(n – 1)(x) + ·…· + a1 y'(x) + ao y(x) - where ao, a1, ,an are fixed constants. Consider the nth order linear differential equation .... L(y) = 2e8x cos x + 4xe8x (*) Suppose that it is known that L[y1(x)] = 6xe&x L[y2(x)] = 5e8x sin x L[y3(x)] = 5e8x cos x when yı(x) = 36xe8x when y2(x) = 10e8x cos x when y3(x) = 20e8x cos x + 100e8* sin x %3D %3D %3D Find a particular solution to (*).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let
L(y) = an ym(x) + an – 1 ya – )(x) +
+ ajy(x) + aо У(х)
where ao, a1,
an are fixed constants. Consider the nth order linear differential equation
•.•.
L(y) = 2e&x
cos x + 4xe8x (*)
Suppose that it is known that
6xe8x
5e8x sin x
when yi(x) 3D 36хе&x
when y2(x)
L[y1(x)]
L[y2(x)]
10e8x cos x
L[y3(x)]
Se8r
when y3(x) = 20e8x cos x + 100e8x sin x
cos x
Find a particular solution to (*).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F949f7a1f-f6d1-44e7-b99b-2b0ff023989b%2F34240f1c-c97a-4b73-bb66-0b30fa9890aa%2F8obne0q_processed.png&w=3840&q=75)
Transcribed Image Text:Let
L(y) = an ym(x) + an – 1 ya – )(x) +
+ ajy(x) + aо У(х)
where ao, a1,
an are fixed constants. Consider the nth order linear differential equation
•.•.
L(y) = 2e&x
cos x + 4xe8x (*)
Suppose that it is known that
6xe8x
5e8x sin x
when yi(x) 3D 36хе&x
when y2(x)
L[y1(x)]
L[y2(x)]
10e8x cos x
L[y3(x)]
Se8r
when y3(x) = 20e8x cos x + 100e8x sin x
cos x
Find a particular solution to (*).
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