Solution Of Differential Equations With Perfect Examples
Solution Of Differential Equations : From ancient Greek Mathematics equations are the short form of a long analytical problem . A large problem can be solved in a easy way by converting it into a simple equation. Differential equations are the evolved form of equations . So here i want to discuss about some problems of Differential equations and it's methods of solving problems . First of all I want to say something about its definition.Its definition is that it is the equation containing or having differential coefficient . For example_ : d^2y/dx^2+dy/dx+y=3 Let us consider some problems and solutions regarding this. Examples : 1. d^2y/dx^2+y=x 2. y"+y'+6y=0 Solutions : 1. Given , dy/dx+y=x It is the linear equation of the form dy/dx+p(x)y=q(x) In this case p(x)=1 and q(x) = x So to solve this we have to find integ