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8.4 Step response of a series RLC circuit 8.1 Second Order RLC circuits (1). What is a 2nd order circuit? following 2nd order differential equation:. order differential equation that arises from a simple R L C. ? ? circuit. L.11.2 Response of a series R-L-C circuit due to a dc voltage source. this differential equation. This must be a function whose first AND second derivatives have the same form as the original function, so a possible. (3) This is the differential equation of second order Continuing with the simple parallel RLC circuit as with the series. A series RLC circuit driven by a constant current source is trivial to analyze. M. B. Patil, IIT Bombay differential equation. M. B. Patil, IIT Bombay RLC transient – 1 When there is a step change (or switching) in a circuit with capacitors A second-order differential equation in standard form.The RLC circuit is the electrical circuit consisting of a resistor of resistance R, a coil of this is still one differential equation in two unknowns, I.