# draw a block diagram for the system

A system is represented by the following equation: $$\frac{𝑑^2𝑥}{𝑑𝑡^2} + 8\frac{𝑑𝑥}{𝑑𝑡} + 9𝑥 = 1$$

By taking the initial conditions, 𝑥(0) = 1, 𝑥̇(0) = −1, draw a block diagram for the system. The transfer function will be as following:

$$\frac{𝑑^2𝑥}{𝑑𝑡^2} + 8\frac{𝑑𝑥}{𝑑𝑡} + 9𝑥 = 𝑟(𝑡)$$

• 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? – The Photon May 26 '20 at 4:36
• 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. – jDAQ May 26 '20 at 4:43
• A transfer function does not exist if there are non-zero initial conditions. – 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