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- W67809894 abstract "This chapter discusses the procedure for reduction of order applicable to linear ordinary differential equations. This reduction yields a lower order differential equation, if any nontrivial solution of the homogeneous equation is known. For an n th order linear ordinary differential equation, any nontrivial solution of the homogeneous equation can be used to reduce the order of the equation by one. For the special case of second-order linear differential equations, knowing any solution of the homogeneous equation allows the general solution to be found. The chapter illustrates the method for second-order equations. It discusses the method for general second-order linear ordinary differential equation y “ + p ( x ) y ' + q ( x ) y = r ( x )." @default.
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- W67809894 date "1992-01-01" @default.
- W67809894 modified "2023-09-27" @default.
- W67809894 title "Reduction of Order" @default.
- W67809894 doi "https://doi.org/10.1016/b978-0-12-784391-9.50086-5" @default.
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