The course should enable the student to:
 Perceive the basic concepts and definitions of differential equations
 Develop the skill of representing a real physical situation by means of differential equations through modeling approach
 Recognize the various types of differential equations
 Apprehend the standard techniques for solving differential equations
 Differentiate between stable and unstable solutions

The students should be able to:
 Realize the importance of ordinary differential equations and their practical applications
 Formulate a differential equation to model relationships between variables in a physical phenomena
 Grasp the theory of standard types of linear and nonlinear differential equations
 Investigate the stability of solutions of differential equations
 Sketch solutions of differential equations in the phase plane
 Apply techniques for solving various differential equations including separation of variables, integrating factors and lap lace transforms
 Use the governing differential equation of a system to predict the behavior of the system under various boundary conditions.
 Distinguish between the general solutions, particular solutions, complementary solutions, exact solution and approximation solutions and their proper interpretations.
 Recognize the governing differential equations frequently arise in engineering situations.
 Deal with partial differential equations and their applications in the engineering context.
