Zero Input Response

The total response of a given system can be expressed as the sum of two components: the zero-input component and the zero-state component:
Total response = zero-input response + zero-state response.
Our system:
Where represents our input and represents our output.
The zero-input response, which we will be solving for here, is the system response when [...]

Tags: Characteristic Modes, Characteristic Roots, Initial Conditions, RLC, Series RLC, Zero-Input Response, ZIR