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Odinary Differential EquationsAn Ordinary Differential Equation is a differential equation that depends on only one independent varialble. For example Partial Differential EquationsA Partial Differential Equation is differential equation in which the dependent varialble depends on two or more independent variables. For example Order of a Differential EquationThe order of a differential is the order of the highest derivative entering the equation. For example Linear Differential EquationA first-order differential equation is linear if it can be written in the form where g(t) and r(t) are arbitary functions of t. For example Nonlinear Differential EquationIt is a differential equation whose right hand side is not a linear function of the dependent variable. For example Homogeneous Differential EquationA linear first-order differential equation is homogeneous if its right hand side is zero , that is
For example Nonhomogeneous Differential EquationA linear first-order differential equation is nonhomogeneous if its right-hand side is non-zero that is . For example |