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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 105E

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Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used.
y" + 16y = cos 4t + (6t + 7)cos 4t
O Y(t) = 1(Aor + Ajt + A2 )sin 4t + t(Bot + B1t + B2)cos 4t
%3D
O Y(t) = 1(Aor + A1t + A2) sin 41
O Y(1) = (Aor + Ajt + A2 ) sin 4t + (Bor + Bit+ B2)cos 4t
O Y(t) = t(Bor + Bit + B2)cos 4t
%3D

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