
Course Category: 
Mathematics 
Course Level: 
Undergraduate 
Credit Hours: 
3 
Prerequisites: 
MTH101 

Course Synopsis
This course contains more than 90 interactive differential equations tools and covers the entire differential equations course, FirstOrder Differential Equations, Second Order Differential Equations, Linear and Nonlinear Applications, Series Solutions, and Boundary Value Problems.
Course Learning Outcomes
At the end of the course, you should be able to:
 Apply the concept of Fist Order Differential Equations
 Deduce the applications of first order differential equations
 Conclude differential equations of orders with methods of their solutions and homogenous and nonhomogenous equations are explained and solved
 Construct the applications of second order differential equations and different vibration models
 Evaluate the differential equations of higher orders with variable coefficients and methods of their solutions, including solution in series. Also Bessel"s equation and Legendre"s equation are introduced and solved
 Compute the concept of systems of linear differential equations and different methods of solutions is provided
Course Contents
Separable Equations, Homogeneous Differential Equations, Exact Differential Equations, Integrating Factor Technique, First Order Linear Equation, Bernoulli Equations, Applications of First Order Differential Equations, Radioactive Decay, Applications of Non Linear Equations, Higher Order Linear Differential Equations, Homogeneous Linear Equations with Constant Coefficients, Method of Undetermined Coefficients ( Superposition Approach), Method of Undetermined Coefficients (Annihilator Operator Approach), Variation of Parameters for HigherOrder Equations, Applications of Second Order Differential Equations, Damped Motion, Forced Motion, Differential Equations with Variable Coefficients, CauchyEuler Equation: Alternative Method of Solution, Power Series, Solution about Ordinary points, Solution about Singular Points, Bessel's Differential Equation, Legendre's Differential Equation, Systems of Linear Differential Equations, System of Linear First Order Equation, Eigen value Problem,
Matrices and Systems of Linear FirstOrder Equations, Homogeneous Linear Systems, Linear and Repeated Eigen values, NonHomogeneous System
Course Related Links
Some basic Differential Equations Concepts
Ordinary Differential Equation
Mathematical Operators, Transforms, Differential Equations used in Engineering Mathematics
This link contains the detailed discription of partial fraction techniques with examples. It will be helpful for you in revising the method and set you at ease while solving various differential equations
For basic definitions of Differential Equations
For applications of Differential Equations
Second Order Differential Equations
This link contains the detailed description of partial fraction techniques with examples. It will be helpful for you in revising the method and set you at ease while solving various differential equations
Very simple introduction of Differential equations 


