Stedura Press Advanced Differential Equations by B J.Gireesha Rama S R Gorla BC Prasannakumara

The subject of differential equations is playing a very important role in engineering and sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern techniques of applied mathematics in modeling physical phenomena. This renewal of interest, both in research and teaching, has led to the writing of the present book. The purpose of this textbook on advanced differential equations is to meet the current and future needs of these advances in scientific developments.

1. First Order Linear Differential Equations 

• Introduction
• First Order Linear Differential Equations
• Separable Differential Equations
• Exact Differential Equations
• Bernoulli Differential Equation
• Method of Substitutions
• Applications
• Exercises

2. Higher Order Differential Equations

• Introduction
• The Second Order Homogeneous Differential Equations
• Initial Value Problem
• Linear Dependence and Independence
• Second Order Nonhomogeneous Differential Equations
• Linear homogeneous equations of order n
• Initial Value Problems for n^th Order Equations
• Nonhomogeneous equations of order n
• Linear Equations with Variable Coefficients
• Exercises