(1 point) Solve the following initial value problem: y" + 9y = u5(t); y(0) = 0,...

Question

Question

(1 point) Solve the following initial value problem: y + 9y = u5(t); y(0) = 0, y (O) = 0. For step functions, remember to u

Answer 1

Answer #1

yol = 0 =4) 5s 5s 4 91 = и 7) svis) » Үis) = a u (E-5) = Y(S) = е sts19) Now taking inv. Lap Traslom. 2 cos (st-5 d: #ft-5).

Note that up to Y(s) the calculations are correct!

Next, I am attaching an image :

inverse laplace -55 e 2 sls +9 Examples >> Solution e Laplace Inverse Transform of s(s+9) H(t – 5)( *H(t – 5) – cos(3(t – 5))

Answer 2

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