| A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations Contributor(s): Cassano, Claude Michael (Author) |
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ISBN: 1468174762 ISBN-13: 9781468174762 Publisher: Createspace Independent Publishing Platform OUR PRICE: $23.74 Product Type: Paperback Published: January 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General |
| Physical Information: 0.08" H x 5.98" W x 9.02" (0.15 lbs) 40 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |