Basic concepts of partial differential equations

• Main Authors: Ang, Stanford A., Gohoc, Josua C.
• Format: text
• Language: English
• Published: Animo Repository 1995
• Subjects: Differential equations, Partial; Operator equations; Functions
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16238
• Institution: De La Salle University

This paper aims to exemplify some concepts in partial differential equations. Partial differential equation is an equation containing more that one partial derivative. Partial differential equation is obtained by eliminating constants of equations dealing with more than one independent variable. A linear partial differential equation is an equation which has only linear partial derivatives. This paper aims to present the methods of obtaining solutions to: linear partial differential equations of order one by using the Lagrange system of equations, non-linear partial differential equations of order one which are of the form f(p,1) = 0, z = px = qy + f(p,q), f(z,p,q) = 0. and f1(x,p) = f2(y,q), homogeneous partial differential equations of higher order with constant coefficients of the form, A az + b az = 0, a z2z + B a2Z + z2Z = 0 and non-homogeneous linear partial differential equations with constant coefficients of the form f(Dx, Dy) = R(x,y).