Question

I. Find the inverse laplace transform of the following using partial fraction decomposition: 1. F(s) = (2s^2+1) / ((s^2+14s+40)(s+5)) 2. F(s) = (3s+4) / ((s+2)^2(s+6)) 3. F(s) = (4s^2) / ((s+1)(s^2+10s+41)) 4. F(s) = (s+3) / ((s^2+2s+1)(s+2)) 5. F(s) = (5s+6) / (s^2+7s+10) II. Obtain the transfer function of the following: 1. d^3c/dt^3 + 3 d^2c/dt^2 + 7 dc/dt + 5c = d^2r/dt^2 + 4 dr/dt + 3r 2. 4 d^2x(t)/dt^2 - 3 d^3y(t)/dt^3 + dx(t)/dt + 10x(t) - d^2y(t)/dt^2 - 5 dy^5(t)/dt^5 = 2y(t)

          I. Find the inverse laplace transform of the following using partial fraction decomposition:

1. F(s) = (2s^2+1) / ((s^2+14s+40)(s+5))

2. F(s) = (3s+4) / ((s+2)^2(s+6))

3. F(s) = (4s^2) / ((s+1)(s^2+10s+41))

4. F(s) = (s+3) / ((s^2+2s+1)(s+2))

5. F(s) = (5s+6) / (s^2+7s+10)

II. Obtain the transfer function of the following:

1. d^3c/dt^3 + 3 d^2c/dt^2 + 7 dc/dt + 5c = d^2r/dt^2 + 4 dr/dt + 3r

2. 4 d^2x(t)/dt^2 - 3 d^3y(t)/dt^3 + dx(t)/dt + 10x(t) - d^2y(t)/dt^2 - 5 dy^5(t)/dt^5 = 2y(t)

$I. Find the inverse laplace transform of the following using partial fraction decomposition: 1. F(s) = (2s^2+1) / ((s^2+14s+40)(s+5)) 2. F(s) = (3s+4) / ((s+2)^2(s+6)) 3. F(s) = (4s^2) / ((s+1)(s^2+10s+41)) 4. F(s) = (s+3) / ((s^2+2s+1)(s+2)) 5. F(s) = (5s+6) / (s^2+7s+10) II. Obtain the transfer function of the following: 1. d^3c/dt^3 + 3 d^2c/dt^2 + 7 dc/dt + 5c = d^2r/dt^2 + 4 dr/dt + 3r 2. 4 d^2x(t)/dt^2 - 3 d^3y(t)/dt^3 + dx(t)/dt + 10x(t) - d^2y(t)/dt^2 - 5 dy^5(t)/dt^5 = 2y(t)$

Added by Michael B.

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