Introduction To Partial Differential Equations
Mathematics is thuniverse of knowledge. From starting of universe it is a secret of all objects of this universe. Every ending has a starting. Differential Equations is the part of universe of Mathematics. Differential equations are divided into two parts those are Ordinary Differential Equations and Partial Differential Equations. For example : dy/dx + xy² = x² It is an ordinary differential equation. ∂u/∂t + (∂u/∂x)² = 4 It is a partial differential equation. I have already discussed the theorems related to ordinary differential equations. The theorems and equations are all important to the solutions of ordinary differential equations. The geometrical structure for ordinary differential equations is given by the following; Let us now discuss about partial differential equation and the theorems and equations related to it . Definition : A partial differential equation is a rela