Let L(y) = any(n)(x) + An−1 y(n − ¹)(x) + ... + a₁y'(x) + ao y(x) where ao. a1. an are fixed constants. Consider the nth

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Let L Y Any N X An 1 Y N X A Y X Ao Y X Where Ao A1 An Are Fixed Constants Consider The Nth 1 (14.38 KiB) Viewed 40 times

Let L(y) = any(n)(x) + An−1 y(n − ¹)(x) + ... + a₁y'(x) + ao y(x) where ao. a1. an are fixed constants. Consider the nth order linear differential equation 7e8x cos x + 6xex (*) L(y) Suppose that it is known that L[v1(x)] = 7xe8x L[v2(x)] = 9e8x sin x when y(x) = 35xex when y2(x) = 54e8x cos x L[v3(x)] = 8e³x cos x when Find a particular solution to (*). = y3(x) = 80e³x cos x + 320e³x sinx