Question

Answer Question 3 please?

(b) Use a = 2v5 and solve. (c) Use a = 6 and solve. 2. Solve the spring mass system y" + y = u(t) + 6(t - A) y(0) = 0 Y(0= 0 and find a value of A that will make y(t) = 1 for t > A. 3. Sketch g, rewrite in terms of step functions, and find G(3) = (9) where O for 0 <t<1 2t - 2 for 1 <t<2 910 - 1 4-t for 2 <t <4 -t O for 4 <t + 4 .

Answer 1

The given function a(t) = { 0, for ostal 2t-2 for Kt 52 4-t for 22 AL 4 o for 468 we Sketch the fingetion gets below: we

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writting in terms of step finitions: get) = 0 for tt [0, 1) get) = 24-2 for A e [12] g(t) = 4-t for de [2, 4] gt) so for d E [4,00) The Laplace trand form of gas will be GO) = 2{g} = Sest get) at - ' *за инје јез и « нан + 100 est de - Soest odt+ /et-vestit a lehet 0 Jetsett +/-test -st.

Stest at a test -s est et =$(++)est to set-zest - 25 ? (43) St 72 =-2/)225 6+38] + Ees -- Le 250+5)-e 5,4-HEE ET +[* er* = f[e-250457 + [+) ensex4 (2+2), 25 $[-)e2s+ $e-457

..L{ ger} = -327(*)-&J + $(2-3):246-25 +38957 3 etso 3 eozes AS ut lat sens?