Solving first Order Linear Differential Equation Using Operational Amplifier Approach

*Ndanusa, B., Jibrin, Y. A. & Gbedako, A. A.

Department of Physics,

Ibrahim Badamasi Babangida University, Lapai, Niger State,

E-mail: bndanusa@gmail.com

ABSTRACT

Operational Amplifier (Op-Amp) as it is popularly called is used to solve differential linear equations. A differential linear equation of first degree was considered for the design using cascades of inverter; summer and integrator configuration of operational amplifier. A general purpose op-amp, µA 741 of the 8 pin mini DIP type was chosen for the design. Its unique features and prime advantages was considered and hence its choice. The performance of the designed circuit was evaluated for the input cases of a unit step inputs. The output graphs obtained in each case compared to the analytically derived function showed the circuit worked as desired. Though, the little ripples seen in the output graphs are as a result of the thermal noise of the components used in building the circuits.

Keywords: Op-Amp, differential equation, summer; inverter and integrator