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COURSE PRO FORMA

IMPORTANT:
Contents of this Pro Forma shall not be changed without the Senate’s approval for items indicated with *. Changes
to the other items can be approved at the Academy/Faculty/Institution/Centre level.

Code KXEX2244
Title Ordinary Differential Equations
Pre-requisite Ordinary Differential Equations
Student Learning Time (SLT) 80 hours

Credit 2
Learning Outcomes 1. Ability to recognize the order and linearity of an ODE and verifying
whether a given function is a solution or not. Find the solution of first
order
ODE.

2. Find the solution of linear second order ODE analytically.

3. Find the solution of linear second order ODE in series form.
Synopsis Fundamental concepts and definitions in ODE, initial value problem, First
order ODE: separable, linear, exact equations and equations reducible to
those forms. Integrating factor. Linear equation of higher order: Linearly
independent solutions, Wronskian, La Grange’s reduction of order,
complementary functions and particular solutions, the method of
undetermined coefficients, the variation of parameters, Euler-Cauchys
equation. Series solution method: power series, convergence, series
solution
Assessment 40% Continuous Assessments

60% Final Examination
th
References 1. Engineering Mathematics (5 Ed), K. Stroud & D. Booth, Palgrave
(2001)
nd
2. Modern Engineering Mathematics (2 Ed), Glyn James, Addison-
Wesley
(1996)

3. Frank Ayres Jr., Schaum Outline Series: Differential Equations, McGraw
Hill,
1972
Soft skills Communication Skills (CS1, CS2)

Critical Thinking and Problem Solving Skills (CT1, CT2, CT3) Team work
Skills (TS1)

UM-PT01-PK03-BR003(BI)-S04