Problem #2: LetL(y) = any)(x) + an-13y(n − 1)(x) ++ [₁ y(x) + y(x)where do, alL(y) 3ex cos x + 8xeºx (*)Suppose that it is known thatL[v₁(x)] = 11xg⁹xL[12(x)] = 4e⁹x sin.xL[y3(x)]Se⁹x cos xFind a particular solution to (*).a,, are fixed constants. Consider the nth order linear differential equationwhen y(x)55xe⁹xwhen y(x) = 40e⁹x cos xwhen y3(x)30e⁹x cos x + 150€⁹x sin.x

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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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