
This course is one of the fundamental courses for an electrical and electronics engineering student. It begins with the definition and terminology of the differential equations. Various approaches such as Direct Integration, Separable Variable, Linear Integrating Factor, Nonlinear Integrating Factor and Substitution methods are introduced to solve the linear and nonlinear first order ordinary differential equations. The students learn about modeling the systems of differential equations using fundamental knowledge of science and physics. Then with the various approaches, the students are able to formulate and solve the engineering problems with initial value conditions. Next, homogeneous and non-homogeneous higher order ordinary differential equations are solved using approaches such as Complementary Functions and Particular Integral, Superposition, Reduction Order, Variation of Parameters, D-operator, Euler-Cauchy, Laplace Transform. Linear Equations and Inverse Matrices as well as Eigenvalues and Eigenvectors are studied. Homogenous and non-homogeneous first order linear systems can be solved using Undetermined Coefficients and Variation of Parameters approaches. MATLAB M-file programming and SIMULINK block diagram will be studied as a tool to demonstrate the differential equations can be solved with the various approaches mentioned above.