State equation of RC circuit (second-order system)

　・In Japanese
Prerequisite knowledge
　・RC circuit
　・State equation of a first-order system

Here we solved the differential equation for the RC circuit below to confirm the voltage behavior, but here we would like to express the voltage behavior using a state equation.


If the circuit diagram expressed above is difficult to understand, I think it will be easier to understand if you do it like this.



■Derivation of the equation of state




The equation of state has now been expressed.

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