A system is represented by the following equation: $$\frac{𝑑^2π‘₯}{𝑑𝑑^2} + 8\frac{𝑑π‘₯}{𝑑𝑑} + 9π‘₯ = 1$$

By taking the initial conditions, π‘₯(0) = 1, π‘₯Μ‡(0) = βˆ’1, draw a block diagram for the system. The transfer function will be as following:

$$\frac{𝑑^2π‘₯}{𝑑𝑑^2} + 8\frac{𝑑π‘₯}{𝑑𝑑} + 9π‘₯ = π‘Ÿ(𝑑)$$

  • \$\begingroup\$ IME, we usually define systems in EE in terms of an input signal and an output signal. What is the input signal in your first equation? \$\endgroup\$
    – The Photon
    May 26 '20 at 4:36
  • 2
    \$\begingroup\$ Hello Kasut, welcome to EESE. Is this question from a homework? Please add all the work you have done so far and also the homework tag, so that it identify the question as such. \$\endgroup\$
    – jDAQ
    May 26 '20 at 4:43
  • 1
    \$\begingroup\$ A transfer function does not exist if there are non-zero initial conditions. \$\endgroup\$
    – Chu
    May 26 '20 at 6:36

One way to represent that equation by a block diagram would be


simulate this circuit – Schematic created using CircuitLab


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