Differential Equation are widely used in fields of Engineering and Applied Sciences. Mathematical Formulations of most of the physical problems are in the form of differential equation. Differential equation are two Types : Ordinary and Partial Differential equation. In Ordinary Differential Equation there is one dependent variable depending for its value on one independent variable. Partial Differential equation will have more than one independent Variables. The Differential equation can be used to explain and Predict new facts about Every thing that changes continuously. In this Course we study Solution of Linear Differential equation of second and Higher Order.

Course Outcome:

At the end of the course student will be able to

1) Evaluate Complementary solution of higher-order linear differential equation with constant coefficient using different Methods.

2) Evaluate Particular Solution of higher-order linear differential equation with constant coefficient using different Methods.

3) Evaluate General solution of higher-order linear differential equation with constant coefficient using different Methods.

Applications of Differential Equations in various field :

1) Oscillations of a mass on a spring—free, undamped and damped motion ,

2) Series RLC circuits, Mixture problems. ,

3) Deriving differential equations from measured data ,

4) Chemical reactions,

5) Predator-Prey problems ,

6) Pursuit problems,

7) Linearization of Non-Linear Equations about equilibrium.