Course Objectives:

1.         Solve first order differential equations.
2.         Apply their knowledge about first order differential equations on real world application problems.
3.         Solve second order constant coefficients differential equations.
4.         Develop the basic Laplace Transform and Series solution techniques to solve differential equations.
 

Topical Outline:

1.         Solve first order differential equation by Variable Separable Method
2.         Solve first order differential equation by Linear Method
3.         Solve first order differential equation by Exact Method
4.         Solve first order differential equation by Homogeneous Method
5.         Solve first order differential equation by Bernoulli’s Method
6.         Solve application problems using the knowledge of first order DE (differential equations)
7.         Find the second solution using Reduction of Order
8.         Solve non homogeneous, higher order constant coefficients linear DE with Undetermined Coefficients Method
9.         Solve non homogeneous, higher order constant coefficients linear DE with Variation of Parameters Method
10.       Solve DE by Laplace Transform
11.       Solve DE by Series Solution