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2. (15 pts) Determine the Laplace transform of y(t) = It acts1 -t 1<ts 2 Co...
Q2.(10 ts) Find the Laplace transform of the following. Show all work 1.f(t) = t? cost 2.f(t) = { 2, Ost<3 3<t
Question 1 4 pts Find the Laplace transform of ift <TI, f(t) {i = 0 t-a if <t < 27 0 ift > 27 -TS e TS - -27s 1 s2 $ 1 eans 1 Te27 1 s2 (e-ws e=278) -TTS -27s 1 Te-27 1 s2 s O None of the above
Integral Transform
Find the Laplace transform for the periodic function f(t) = f(t+2) and f(t) = t for 0 <t< 2.
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
(4) Find the Laplace transform of this function: Set if 0 <t <2, 0 if 2 <t.
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
1. (2 points) Using the definition, find the Laplace Transform of the function: e21, 0<t<3 f(t) = 3<t
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
Solve the following ode using Laplace transform: y' - 5y = f(t); y(0) - 1 t; Ost<1 f(t) = 0; t21
2. Use the Laplace Transform to solve the initial value problem y"-3y'+2y=h(t), y(O)=0, y'(0)=0, where h (t) = { 0,0<t<4 2, t>4