Find the solution of the given initial value problem. у — у %3D и () — и2(), у(0) — 19, У (0) 3 2, у" (0) %3D 3, у" (0) — —4 y(t) = u¡h(t) – uzh(t) + 16cost + 6sint + 24e¬ + 20e' 1 where h(t) 1 =...

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Extracted text: Find the solution of the given initial value problem. у — у %3D и () — и2(), у(0) — 19, У (0) 3 2, у" (0) %3D 3, у" (0) — —4 y(t) = u¡h(t) – uzh(t) + 16cost + 6sint + 24e¬ + 20e' 1 where h(t) 1 = -1+cost +ze 1 + 4 O y(t) = u¡h(t – 1) – uzh(t – 2) + 16cost + 6sint + 6e¬ + 5e' 1 1 -f where h(t) = – 1+cost +ze 4 4 y(t) = u2h(t – 1) – u̟h(t – 2) + 8cost + 3sint + 24e¬ + 20e' 1 = -1+cost +ze 1 1 where h(t) 2 4 4 О Уб) 3 и htt - 1) — изh(t — 2) + 8сost + 3sint + 5e" + 6е' 1 1 1. = -1+=cost +e 2 where h(t) 4 4 y(t) = u¡h(t – 1) – uzh(t – 2) + 8cost + 3sint + 6e¬ + 5e' 1 where h(t) = -1+cost +ze 1 -t + ret 4