Differential Equations Made Easy: Practical Step-by-Step Methods

In 500 pages, the book covers the basic concepts and techniques of differential equations:Differential Equations of 1st order (Linear Differential Equations, Bernoulli, Riccati, Exact, Inexact, Orthogonal Trajectories);Linear Differential Equations of 2nd order (with constant coefficients, the Wronskian determinant, Homogeneous with non-constant coefficients, Cauchy-Euler, Non-homogeneous with non-constant coefficients);Power Series method for Linear Differential Equations of 2nd order;Linear Systems of Differential Equations (Homogeneous 2 x 2 systems, Fundamental Matrix and Exponential Matrix, Non-homogeneous 2 x 2 systems, Homogeneous 3 x 3 systems);Stability of Equilibriums of Systems of Differential Equations (Linear, Non-linear);The Laplace Transform.The presentation is clear and concise, with step by step examples to help students understand the concepts and practice solving exercises.The book can be used as a textbook for an undergraduate course in differential equations, or as a self-study guide for anyone interested in learning the subject.I hope that this book will be a useful resource for students and instructors alike, and that it will inspire a deeper appreciation for the power and beauty of differential equations. Read more