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where ao, a1, , an are fixed constants. Consider the nth order linear differential equation ...3 L(y) = 3e2x Suppose that it is known that L[y₁(x)] = 8xe2x L[y₂(x)] = 4e²x sin x L[y3(x)] = 5e²x cos x Find a particular solution to (*). cos x + 6xe²x (*) y₁(x) = 24xe²x 8e²x cos x when when y2(x) = when y3(x) = 40e²x cos x + 120e²x sin x

where ao, a1, , an are fixed constants. Consider the nth order linear differential equation ...3 L(y) = 3e2x Suppose that it is known that L[y₁(x)] = 8xe2x L[y₂(x)] = 4e²x sin x L[y3(x)] = 5e²x cos x Find a particular solution to (*). cos x + 6xe²x (*) y₁(x) = 24xe²x 8e²x cos x when when y2(x) = when y3(x) = 40e²x cos x + 120e²x sin x

Advanced Engineering Mathematics
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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L(y) = any(n)(x) + An−1 y(n − 1)(x) + where ao, a1, ..., L(y) = 3e²x cos x + 6xe²x (*) Suppose that it is known that L[y₁(x)] = 8xe2x L[y2(x)] = 4e²x sin x L[y3(x)] = 5e²x COS X Find a particular solution to (*). ‚ an are fixed constants. Consider the nth order linear differential equation + a₁ y'(x) + ao y(x) = when y₁(x) 24.xe2x 8e²x cos x when y₂(x) when y3(x) = 40e2x cos x + 120e²x sin x =
Transcribed Image Text:L(y) = any(n)(x) + An−1 y(n − 1)(x) + where ao, a1, ..., L(y) = 3e²x cos x + 6xe²x (*) Suppose that it is known that L[y₁(x)] = 8xe2x L[y2(x)] = 4e²x sin x L[y3(x)] = 5e²x COS X Find a particular solution to (*). ‚ an are fixed constants. Consider the nth order linear differential equation + a₁ y'(x) + ao y(x) = when y₁(x) 24.xe2x 8e²x cos x when y₂(x) when y3(x) = 40e2x cos x + 120e²x sin x =
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