8.1 TRANSIENT STATE AND STEADY-STATE IN CIRCUITS
The mesh equations (or node equations) needed to solve for the response of any circuit–memoryless or dynamic – are obtained by applying Kirchhoff's Voltage Law in meshes (or Kirchhoff's Current Law at nodes) along with the element equations. The element equation of an inductor is 
and that of a capacitor is 
. There fore, the mesh equations (node equations) describing a dynamic circuit will be integro-differential equations. These equations are true for all t, since they are obtained from KVL and KCL ...
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