5. (iv) (v) Solve the following initial value problems using Laplace transformations: y - y': =...
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5. (iv) (v) Solve the following initial value problems using Laplace transformations: y" - y': = cos 2t + cos(2t – 12)u(t), y(0) -4, y'(0) = 0. y" + 3y' + 2y = g(t), y(0) = 0, y'(0) = −2 where g(t) = = t 4 t < 6 6 ≤ t < 10. t≥ 10 5. (iv) (v) Solve the following initial value problems using Laplace transformations: y" - y': = cos 2t + cos(2t – 12)u(t), y(0) -4, y'(0) = 0. y" + 3y' + 2y = g(t), y(0) = 0, y'(0) = −2 where g(t) = = t 4 t < 6 6 ≤ t < 10. t≥ 10
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