CIRCUIT ELEMENT MODELS
The method used so far follows the steps:
1.  Write the differential  equation model
2.  Use Laplace transform to convert the model to an algebraic form
For a more efficient approach:
1. Develop s-domain models for circuit elements
2. Draw the “Laplace equivalent circuit” keeping the interconnections and replacing
    the elements by their s-domain models
3. Analyze the Laplace equivalent circuit. All usual circuit tools are applicable and all
    equations are algebraic.
Resistor