Verify that the given family of functions is a solution of the DEQ. Assume an appropriate interval I of definition for each solution. Name the family of function for the solution of the DEQ. d²y dy 6- + 9y = 0 ; y = ce3x + c2xe3x - dx2 dx

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.7: Functions Defined By Equations
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Verify that the given family of functions is a solution of the DEQ. Assume an
appropriate interval I of definition for each solution. Name the family of
function for the solution of the DEQ.
d²y
dy
6-
+ 9y = 0 ;
y = ce3x + c2xe3x
-
dx2
dx
Transcribed Image Text:Verify that the given family of functions is a solution of the DEQ. Assume an appropriate interval I of definition for each solution. Name the family of function for the solution of the DEQ. d²y dy 6- + 9y = 0 ; y = ce3x + c2xe3x - dx2 dx
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