(Solved): dy dt 5. 5[sy(s)-sy(0)-y'(0)]- 3[sy(s)-y(0)]- 2y(s) = 0 + s-1]-3[sy(s) + 1]- 2y(s) = 0 5[sy( ...

d²y dt² 5. 5[s²y(s)-sy(0)-y'(0)]- 3[sy(s)-y(0)]- 2y(s) = 0 + s-1]-3[sy(s) + 1]- 2y(s) = 0 5[s²y(s) + s -5s + 8 -5s + 8 A y(s) = 5s²-3s-2 (S-1)(s + 0.4) S-1 y(t) = 3d - 2y = 0, y(0) = -1, dy (0) = 1 dy dt dt 3 -t 10 7 = -0.4t e 0 = + B S + 0.4 → A = MIN 3 7 I B 11 1 = 10 7