Circuit Response

Q: How can I analyze the response of a circuit?
A: Consider a 2nd-order circuit. By superposition, the complete response is the sum of the solution to the homogeneous equation and the inhomogeneous equation.
$x(t)=x_h(t)+x_f(t)$

Q2: What is $x_h$ called?
A2: $x_h$ is called the zero-input response (ZIR), natural response, or transient response.
This is the response when there is no input to the system.

Q3: What is $x_f$ called?
A3: $x_f$ is called the zero-state response (ZSR), forced response, or steady-state response.
This is the response when there is no energy initially stored by the system.