The solution methods of first order linear and Quasi-Linear equations

In this study we prepared, the first order partial linear and the solution of Quasi-linear differential equations, the existence of this solution, the solution methods and the problems related to these equations have been researched. The application of the solution methods have been shown with separate examples by analyzing the solution methods of First Order linear Partial differential equations and quasi linear differential equations. Two, three and n variable first order linear and quasi linear differential equations have been examined. The solutions of these equations' general and specific solution methods have been studied. In addition, the solution methods of the problems related to vector areas, vector curves and vector surfaces formed by these equations in three dimensional space depending on the two free variables x, y have been told.