DIFFERENTIAL EQUATIONS

Differential Equations: Methods & Applications offers a comprehensive exploration of differential equations, essential tools for modeling dynamic systems in science and engineering. The book begins with foundational concepts and definitions, progressing through various techniques for solving first-order and second-order linear differential equations, including methods such as Laplace transforms and systems of differential equations.
Numerical methods are also highlighted, alongside partial differential equations, emphasizing their applications in physics and engineering. The book concludes with discussions on advanced topics like boundary value problems and Sturm-Liouville theory. Designed for students and professionals, this text combines theory and practical applications, equipping readers with the necessary skills to tackle real-world problems involving differential equations.

Dr. Mahadev Biradar

Dr. Biradar is an Associate Professor in the Mathematics Department at Basaveshwar Engineering College in Bagalkote, Karnataka, India. He has over 21 years of experience in teaching mathematics and has published 20 international papers in reputed journals. Dr. Biradar has also held various academic responsibilities, including the position of Head of the Department. With his extensive experience and expertise, he is a highly respected figure in the field of mathematics and is well-versed in various topics and subfields of the subject. This textbook is a testament to his dedication to sharing his knowledge and expertise with students and readers interested in mathematics.

Dr. Gousia Begum

She is a distinguished author, graduated top of her class in SSLC, achieving top marks in mathematics. She furthered her academic journey by obtaining an M.Sc. in 2001, where she secured the 4th rank, followed by achieving the first rank in M.Phil. Subsequently, she embarked on a teaching areer at KCT Engineering College from 2001 to 2009, concurrently earning her Ph.D. from GUG in 2007. Throughout her illustrious career spanning 22 years in academia, with 6 years at the postgraduate level and 16 years at the undergraduate level, she has contributed significantly to the field, publishing numerous papers in both national and international journals. Currently serving at Government (Autonomous) Degree College Gulbarga since 2009, Dr. Gousia Begum continues to inspire and educate students with her expertise and dedication.”