The aim of this book titled 'Solving Science and Engineering Problems by Rohit Transform' is to present the application of a novel integral transform named Rohit transform for solving initial value problems in Physical Sciences and Engineering. In this book, the operational properties of Rohit transform are discussed. The initial value problems in Physical Sciences, chemical sciences, and Engineering are thoroughly discussed and solved easily by the application of the Integral Rohit transform than calculus. This book is intended for the students of undergraduate, master, and doctorate, scholars, and researchers who study Modern Physics, Heat Transfer, Network Analysis, and others. In the first chapter, we discuss the 'Rohit Transform' of elementary functions and also discuss the 'Rohit Transform' of derivatives. In the second chapter, we solved initial value problems, taken from Physical Sciences and Engineering, by applying the 'Rohit Transform'. In the third chapter, a Double Rohit transform is introduced and applied to the transmission line equation.