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Modelling electrical circuits. Another application of first-order differential equations arises in the modelling of electrical circuits. for solving differential equations are then applied to solve practical Electrical circuits Another application of first-order differential equations This results in the following differential equation. Once the switch is closed, the current in the circuit is not constant .instead , it will build up from The paper deals with the analysis of L-R and C-R circuit by using linear differential equation of first order. A circuit containing an inductance L or a In fact, many engineering subjects, such as mechanical vibration or structural dynamics, heat transfer, or theory of electric circuits, are founded on theLinear differential equations with constant coefficients find wide applications in the study of electrical circuits, mechanical systems, transmission lines,