Question

For each of the system described by the following differential/difference equations, find the system transfer function. a) d^2y/dt^2 + 11dy/dt + 24y(t) = 5dx/dt + 3x(t) b) d^3y/dt^3 + 6d^2y/dt^2 - 11dy/dt + 6y(t) = 3d^2x/dt^2 + 7dx/dt + 5x(t) c) d^4y/dt^4 + 4dy/dt = 3dx/dt + 2x(t) d) y[n] = 2y[n - 1] - 5y[n - 2] + x[n] + 3x[n - 2]

          For each of the system described by the following differential/difference equations, find the system transfer function.

a) d^2y/dt^2 + 11dy/dt + 24y(t) = 5dx/dt + 3x(t)

b) d^3y/dt^3 + 6d^2y/dt^2 - 11dy/dt + 6y(t) = 3d^2x/dt^2 + 7dx/dt + 5x(t)

c) d^4y/dt^4 + 4dy/dt = 3dx/dt + 2x(t)

d) y[n] = 2y[n - 1] - 5y[n - 2] + x[n] + 3x[n - 2]

For each of the system described by the following differential/difference equations, find the system transfer function.

a) d^2y/dt^2 + 11dy/dt + 24y(t) = 5dx/dt + 3x(t)

b) d^3y/dt^3 + 6d^2y/dt^2 - 11dy/dt + 6y(t) = 3d^2x/dt^2 + 7dx/dt + 5x(t)

c) d^4y/dt^4 + 4dy/dt = 3dx/dt + 2x(t)

d) y[n] = 2y[n - 1] - 5y[n - 2] + x[n] + 3x[n - 2]

Added by Melissa G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

04/14/2023

Step 1

Recall that the Laplace transform of \( \frac{d^n y(t)}{dt^n} \) is \( s^n Y(s) \) and the Laplace transform of \( \frac{d^n x(t)}{dt^n} \) is \( s^n X(s) \). Show more…

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For each of the systems described by the following differential/difference equations, find the system transfer function: a) d^2y/dt^2 + 11dy/dt + 24y(t) = 5dx/dt + 3x(t) b) d^3y/dt^3 + 6d^2y/dt^2 - 11dy/dt + 6y(t) = 3d^2x/dt^2 + 7dx/dt + 5x(t) c) d^4y/dt^4 + 4dy/dt = 3dx/dt + 2x(t) d) y[n] = 2y[n - 1] - 5y[n - 2] + x[n] + 3x[n - 2]