Mathematics MTH001 Elementary Mathematics MTH100 General Mathematics MTH101 Calculus And Analytical Geometry MTH201 Multivariable Calculus MTH202 Discrete Mathematics MTH301 Calculus II MTH302 Business Mathematics & Statistics MTH303 Mathematical Methods MTH401 Differential Equations MTH501 Linear Algebra MTH601 Operations Research MTH603 Numerical Analysis
 MTH401 - Differential Equations Course Page Mcqs Q & A Video Downloads Course Category: Mathematics Course Level: Undergraduate Credit Hours: 3 Pre-requisites: MTH101

# Course Synopsis

This course contains more than 90 interactive differential equations tools and covers the entire differential equations course, First-Order 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 non-homogenous 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 Higher-Order Equations, Applications of Second Order Differential Equations, Damped Motion, Forced Motion, Differential Equations with Variable Coefficients, Cauchy-Euler 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 First-Order Equations, Homogeneous Linear Systems, Linear and Repeated Eigen values, Non-Homogeneous System

 Course Instructor Dr. Junaid Zaidi, Ph.d University of Birmingham, England (UK) Javascript is disable - Webestools - Vote Service (notation module) Books Differential Equations with Boundary Value Problems by D. G.Zill and M. R. Cullen Differential Equations by Richard Bronson Differential Equations with Applications by Stanly J. Farlow An Elementary Treatise on Differential Equations and Their Applications by Henry Thomas Herbert Piaggio