## Course Detail

 Course Name Ordinary Differential Equation Course Code 19MAT106 Program B. Tech. in Electrical and Computer Engineering, B. Tech. in Electrical and Electronics Engineering, B. Tech. in Aerospace Engineering Semester 1 and 2 Year Taught 2019

### Syllabus

##### Unit 1

Ordinary Differential Equations: Linear Differential Equations and Bernoulli Equation. Modelling Problems:
Mixing Problem, Electric Circuits and vibration of strings.

##### Unit 2

Second Order Differential Equations: Euler-Cauchy Equations, Solution by Undetermined Coefficients, Solution
by Variation of Parameters. System of ODEs, Basic Concepts and Theory, Homogeneous Systems and Nonhomogeneous with Constant Coefficients. System of differential equations.

##### Unit 3

Computational Methods: Euler’s methods, Runge-Kutta method.

### Course Objectives and Outcomes

Course Objective

• To model mechanical systems using differential equations.
• To analyse and solve ordinary differential equations.
• To understand numerical methods for solving ordinary differential equations.

Course Outcomes

 CO1 Understand the basic concepts of differential equations CO2 Solve the ordinary differential equations using variation of parameters, undetermined coefficients and by numerical tequnique. CO3 Understand the formation of modelling problems in ordinary differential equations and apply some standard methods to obtain its solutions.

CO – PO Mapping

 PO/PSO/CO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 CO1 3 CO2 2 3 CO3 1 2 2 3

Evaluation Pattern

 Assessment Weightage Class Test/ Assignment/ Tutorial 30 End of course Test (2hrs) 70

### Text Book / References

Text Book

1. Advanced Engineering Mathematics, E Kreyszig, John Wiley and Sons, Tenth Edition, 2018.

Reference

1. Engineering Mathematics’, Srimanta Pal and Subhodh C Bhunia, John Wiley and Sons, 2012, Ninth Edition.
2. Advanced Engineering Mathematics by Dennis G. Zill and Michael R.Cullen, second edition, CBS Publishers, 2012.

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