Balochistan University of Engineering & Technology, Khuzdar
NS-214

# Differential Equations

Pre-requisites:                        Calculus

COURSE OBJECTIVES:

To introduce solution of ordinary differential equations.

ESSENTIAL TOPICS TO BE COVERED:

• Physical concept of differential equations
• Solution of first and second order differential equations
• Partial differential equations

COURSE DESCRIPTION:

Introduction to Differential Equations, ODE of First order and first degree, ODEs of second and higher orders. Complementary function and particular integral, Non-homogeneous linear differential equations. Systems of linear differential equations. Partial differentiation; functions of two or more variables; partial derivatives; higher order partial derivatives; total differentials and their applications to small errors; differentiation of implicit functions; chain rule, maxima and minima of a function of two variables, examples illustrating application to computer engineering.

Recommended Text(s):

• E. Kreyszing, Advanced Engineering Mathematics (8th ed)
• Glyn James, Modern Engineering mathematics.
• Differential Equations with boundary value problems, by Zill and Cullun, 3rd ed.
• Mathematical Method by Dr. S. M Yousuf