DEtools[reduceOrder] - apply the method of reduction of order to an ODE
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Calling Sequence
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reduceOrder(des, dvar, partsol, solutionForm)
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Parameters
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des
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ordinary differential equation, or its list form
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dvar
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the dependent variable for an equation
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partsol
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partial solution, or list of partial solutions
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solutionForm
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flag to indicate the DE should be solved explicitly
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Description
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This routine is used to either a) return an ODE of reduced order or b) solve the ODE explicitly by the method of reduction of order, given a partial (particular) solution of the ODE. Without the optional flag basis, a reduced ODE is returned. If basis appears as the fifth argument, then a list containing the basis of the solution is returned. Note that a solution basis may contain DESol data structures.
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des may be input as an explicit ODE, as a list of coefficients (in the case of the ODE being homogeneous), or in the form returned by convertAlg for the non-homogeneous case.
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partsol may be a single partial solution, or a list of partial solutions. Note that it is assumed all given partial solutions are correct and valid. When a reduced ODE is to be returned, the order of the resulting ODE will be equal to the order of the original less the number of partial solutions given.
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The command with(DEtools,reduceOrder) allows the use of the abbreviated form of this command.
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Examples
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Important: The DEtools[reduceOrder] command has been deprecated. Use the superseding command DEtools[reduce_order] instead.
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