Differential Equations

The theory of differential equations is an important branch of science and engineering. To understand and to investigate problems involving the motion of fluids, the flow of current in electric circuits, transmission of electric waves, conduction of heat in solid objects, the propagation detection of seismic waves, the law of mass action, the increase or decrease of population and in many other, the study of differential equations is essential. This book covers key topics in the study area of Differential Equations.

Chapter 1: Ordinary Differential Equations and Wronskian
Chapter 2: Qualitative Properties of Solutions
Chapter 3: Integration in Series (Ordinary Points, Regular Singular Points and Frobenius Series Solution)
Chapter 4: Beta and Gamma Functions
Chapter 5: Gauss Hypergeometric Equation
Chapter 6: Hermite Polynomials
Chapter 7: Partial Differential Equations of the First Order (Origin of First Order Partial Differential Equations and Classification)
Chapter 8: Non-Linear Partial Differential Equations of First Order (Charpit's and Jacobi's Methods)
Chapter 9: Partial Differential Equations of the Second Order with Variable Coefficients (Origin and Classification)
Chapter 10: Linear Partial Differential Equations with Constant Coefficients
Chapter 11: Reduction of Second Order Partial Differential Equation into Canonical Forms
Chapter 12: Wave Equations
Chapter 13: Heat and Diffusion Equations
Chapter 14: Laplace Equations