The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Differential Equations Second Order Homogeneous Linear Equations Examples Example 1
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Example 1

Find the general solution of

y" - ω2y = 0, ω ≠ 0.

Step 1

The characteristic polynomial is

z2 - ω2.

It has two real roots,

z = ω and z = -ω.

Step 2

The general solution is

y = Aeωt + Be-ωt,

where ω is constant.

Home Differential Equations Second Order Homogeneous Linear Equations Examples Example 1

Last Update: 2006-11-16