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Solution Of Differential Equations With Perfect Examples

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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 ...