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

By Claude Michael Cassano

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.

• Format: Paperback
• Language: English
• ISBN: 1468174762
• ISBN13: 9781468174762
• Release Date: January 2012
• Publisher: Createspace Independent Publishing Platform
• Length: 40 Pages
• Weight: 0.15 lbs.
• Dimensions: 0.1" x 6.0" x 9.0"