10.5.3 Zero-Input and Zero-State Response

• State variable allows us to solve transient problem by superposition
• Total response is the sum of the zero-input-response (ZIR) and the zero-state-response (ZSR)
• The particular solution and the homogeneous solution are terms which apply to a method of solving differential equations 
• Zero-input and zero-state responses arise from a particular way of partitioning the circuit problem into two simpler subproblems. The resulting subcircuits can be solved by finding the homogeneous solution and particular solution in each case.