Assume you have a plant defined by the transfer function G(s)= sta Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output. a) What is y(t) if U(s) is a cosine input i.e. U(s) = ? Here, y(t) is the inverse Laplace transform of Y(s). [Hint: Use PFE method] b) What is y(t) if U(s) is a step input ?

Find the Inverse Laplace Transform of the following functions (cos(2t) Ans. f(t)={ t > T se 16) F(s)= s? +4 elsewhere s+12 Ans. f(t)=3- 2e*" 41 18) F(s) = s² + 4s

answer with steps

Consider the signal f(t) = [2 cos(4t-20) 2e-6t+30] u(t-5). What is the - Laplace transform of f(t)? O O O -28+88+16 +682 +168+96 28 s²+16 e -20s 2² +16 s+20s +32s+64 128-32 +682 +168+96 e -58 2s +16 +5+16s+80 e30s 8+6 u(t-5) e -58 -28² +88+8 -68 s+5+16s+80 e-6₂

i need clear ans by hand and solve very very fast in 20 min and thank you | DYBALA?! B- Find Laplace transform (Z) for each of the following time-domain functions: - f(t) = e-2t (cosh 3t+ 6 t³-4) 2- f(t) = sint (et-e-t)