Second Order Nonhomogeneous Differential EquationMany physical problems involve second order differential equations. Some applications involve homogeneous equations, but the more general case is the nonhomogeneous equation. The general form of the second order differential equation is The path to a general solution involves finding a solution f_{h}(x) to the homogeneous equation, and then finding a particular solution f_{p}(x) to the nonhomogeneous equation (i.e., find any solution that satisfies the equation with all terms included). The form of the general solution is A great variety of types of solutions arise in physical problems and specific functions arise, depending upon the boundary conditions.

Index References Kreyzig Ch 2  

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