Question

1) Find the transfer function of the following system, where $y(t)$ denotes the output and $x(t)$ denotes the input. And for each transfer functions their corresponding differential equation. $frac{d^3y}{dt^3} + 3frac{d^2y}{dt^2} + 5frac{dy}{dt} + y = frac{d^3x}{dt^3} + 4frac{d^2x}{dt^2} + 6frac{dx}{dt} + 8x$ $frac{X(s)}{F(s)} = frac{7}{s^2 + 5s + 10}$ $frac{X(s)}{F(s)} = frac{15}{(s + 10)(s + 11)}$ $frac{X(s)}{F(s)} = frac{s + 3}{s^3 + 11s^2 + 12s + 18}$

          1) Find the transfer function of the following system, where $y(t)$ denotes the output and $x(t)$ denotes the input. And for each transfer functions their corresponding differential equation.
$frac{d^3y}{dt^3} + 3frac{d^2y}{dt^2} + 5frac{dy}{dt} + y = frac{d^3x}{dt^3} + 4frac{d^2x}{dt^2} + 6frac{dx}{dt} + 8x$
$frac{X(s)}{F(s)} = frac{7}{s^2 + 5s + 10}$
$frac{X(s)}{F(s)} = frac{15}{(s + 10)(s + 11)}$
$frac{X(s)}{F(s)} = frac{s + 3}{s^3 + 11s^2 + 12s + 18}$

$1) Find the transfer function of the following system, where y(t) denotes the output and x(t) denotes the input. And for each transfer functions their corresponding differential equation. fracd^3ydt^3 + 3fracd^2ydt^2 + 5fracdydt + y = fracd^3xdt^3 + 4fracd^2xdt^2 + 6fracdxdt + 8x fracX(s)F(s) = frac7s^2 + 5s + 10 fracX(s)F(s) = frac15(s + 10)(s + 11) fracX(s)F(s) = fracs + 3s^3 + 11s^2 + 12s + 18$

Added by William S.

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