Introduction to Ordinary Differential Equations: (Book Series P-12/24) (Mastering Mathematical Sciences : Complete 24-Book Series for CSIR NET, JRF, GATE, SET & Ph.D. Entrance Exams)

By Dr. Jitendra Singh

Introduction to Ordinary Differential Equations (ODEs) is part of a focused series crafted for aspirants of the CSIR NET (JRF) in Mathematical Sciences . Designed to build deep conceptual clarity and sharpen problem-solving skills, this book aligns closely with the exam's structure and expectations. Each chapter combines clear explanations with targeted practice--empowering students to move confidently from understanding the theory to mastering the application. Here's what you can expect: * Chapter 1 -- Foundations of ODEs: Covers the existence and uniqueness of solutions for initial value problems, including detailed insights into Picard's and Peano's theorems * Chapter 2 -- Singular Solutions: Explores types, significance, and solution techniques for singular solutions * Chapter 3 -- Systems of ODEs: Approaches problems using both linear algebra and matrix methods * Chapter 4 -- Linear Differential Equations: Deep dive into both homogeneous and non-homogeneous equations with various solving strategies * Chapter 5 -- Variation of Parameters: Introduces this powerful technique along with practical examples and exam-style applications Practice-Focused: Each chapter includes 100+ multiple-choice questions (MCQs) , designed to reinforce concepts, challenge your thinking, and mirror the CSIR NET exam format. That's 500+ MCQs in total--carefully curated for coverage and clarity. Whether you're just starting out or brushing up for final revision, this book is your companion for building confidence and accuracy in ODEs. Let's get started--and go beyond just solving equations to truly mastering them.

• Format: Hardcover
• Language: English
• ISBN: B0F5PPBWXB
• ISBN13: 9798280632837
• Release Date: April 2025
• Publisher: Independently published
• Length: 253 Pages
• Dimensions: 9.0" x 0.8" x 6.0"