Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the Left Side of the differential equation. A e() = C, 12 + C,1-6 y1) = c,r-3 cos(V2ī In|d|) + C,r-3 sin(/21 In|) © c1) = c,1-2 cos(2/7 Inla|) + C,1-2 sin(2/2 Ine|) 73 y) = C,t + C,1 E ) = C,12 + C,r-7 (停) 23 23 Yc(1) = C,t 2 cos + C,! sin 2

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