at DMZ For the following Second-order system and initial conditions, find the transient solution: DAT H . odnos AGEU X + 8 X + 12X=15 op voll 2009 X (0) = 2200 proy D bri X (0) = 20 = t to tuon

Pravin

6 Problem Compute the inverse Laplace transform f(t) = L−¹[F(s)] of the following function: s+1 s² + 6s +9 F(s) =

4 rad, = 0.5. On the complex plane, draw the root(s) of a 2nd order system with the following characteristics: W₁ = 4 rad

Problem 1. For the systems (s + 2)² 1. G₁(s) = (s+1)(s² + 1)' (s+1)(s+2) 2. G2(s) = (s - 1)(s - 2)(s - 3)' => (a) Using the root-locus rules, draw the root locus plot by hand.

Using masons rule find the transfer function G(s) = C(s)/R(s)

answer completely and neatly

Solve the following differential equation using laplace transform methods. You can use a computer to find the constants for partial decomposition

Part A and B  SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer for both

Use MATLAB to obtain a state model for the following equations; obtain the expressions for the matrices A, B, C, and D. In both cases, the input is f(t); the output: is y. a. 5d³yd²y +7. b. dy +3 dt³ dt² dt Y(s) 5 = F(s) s² +7s+4 - +6y=f(t)