IIT Bombay Differential Equations

Hello sir, is there any one can provide me here a book of IIT Bombay Differential Equations?

[Rajkumar Agarwal]

This book could not have been written without direct and indirect assistance from various institutional bodies within IIT Bombay.

A scalar ODE will be given geometric interpretation and thereby try to gain a geometric understanding of solution structure of ODE whose vector field has some invariance.

As you want the book of IIT Bombay Differential Equations, here I’m providing you:


Book of IIT Bombay Differential Equations







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Book contents;

Introduction To Ordinary Differential Equations
First Order Ordinary Differential Equations
Classification of ODE
Higher Order ODE
Difference Equations
Discrimination
Techniques for Solving First Order Equations
Exercises
References

Plan of lectures
First order equations: Variable-Separable Method.
Existence and uniqueness of solutions to initial value problems
Continuation of solutions, Saturated solutions, and Maximal interval of existence.
Continuous dependence on data, Global existence theorem
Linear systems, Fundamental pairs of solutions, Wronskian

Address:

NPDE-TCA,
Department of Mathematics,
Indian Institute of Technology Bombay,
Powai,
Mumbai,
India - 400 076
Phone: 91-22-2576 4765