The book focuses on differential equations and integral transforms which form an essential part of mathematics for undergraduate science and engineering students. Differential equations arise in the modeling of various physical problems in applied mathematics, physics and engineering. An integral transform is an important tool to solve the initial and boundary value problems. The entire content is covered in 12 chapters. The chapters devoted to differential equations deal with the study of the solutions of differential equations and partial differential equations by various methods such as series solutions, Laplace transform method, Charpit’s method, Monge’s methods, etc. The chapters focussing on integral transforms cover Laplace transform and its applications, Fourier series, Fourier tranforms and their applications. The book has been designed according to the UGC unified syllabus to meet the requirements of undergraduate students studying at all Indian universities.