Tutorial Problem Set 1 Solve the following initial-value problems using the Laplace transform: (a) dax + x = 5H(t - 1) w

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Tutorial Problem Set 1 Solve The Following Initial Value Problems Using The Laplace Transform A Dax X 5h T 1 W 1 (42.7 KiB) Viewed 19 times

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Tutorial Problem Set 1 Solve the following initial-value problems using the Laplace transform: (a) dax + x = 5H(t - 1) with x(0) = x'(0) = 0) dt2 (b) d2x dt2 + x = f(t) with x(0) = x'(0) = 0, where f(t) = 1, 0 <t<1 -1, 121 (c) dax + x = t[1 - H(t - 1)] with x(0) = x'(0) = 0 = dt2 (d) = (e) dºx + 4x = 1 - H(t - 1) with x(0) = x'(0) = 0 dt2 d²x + 4x = Hét – 21t) sin(t - 2n) with x(0) = 1, x'(0) = 0 dt2 dax dx 5 dt2 + 6x = H(t - 1) with x(0) = 0, x'0) = 0 dt d2x + x = H(t – Tt) - H(t - 2n) with x(0) = 1, x'O) = 0 dt2 (f) = (g) (h) dºx + 16x = [1 - Hét - 2n)] sint with x(0) = 0, x'(0) = 0 = dt2