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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations

A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations

Cassano, Claude Michael

Paperback

General Mathematics

ISBN10: 1468174762
ISBN13: 9781468174762
Publisher: Createspace
Published: Jan 4 2012
Pages: 40
Weight: 0.15
Height: 0.08 Width: 5.98 Depth: 9.02
Language: English
A particular solution for any inhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by example a particular solution formula for arbitrary order is obtained. Finding a particular solutions to a linear inhomogeneous ordinary differential equation has always been a process of determining homogeneous solutions, and then adding any particular solution of the inhomogeneous equation. The well-known methods of undetermined coefficients and variation of parameters have long been the standard in determining this particular solution. The former has sometimes been considered 'ad-hoc', and both can be intricate. A relatively simple formuila has been found which allows the particular solution to be written and evaluated immediately.

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