The linear and homogeneous differential equation of order 2 with coefficients in the range (a, b) is assumed. Show that for both independent linear solutions one root between two consecutive zeros y, and y,. B)Is there a linear and homogeneous differential equation of order 2 that the two functions with the criteria et and t2 – 1 are the answer to? If yes, how A) y1 and y2 , this equation has one and only - does this not contradict Part A?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The linear and homogeneous differential equation
of order 2 with coefficients in the range (a, b) is
assumed. Show that for both independent linear
solutions
one root between two consecutive zeros y, and y,.
B)Is there a linear and homogeneous differential
equation of order 2 that the two functions with the
criteria et and t2 – 1 are the answer to? If yes, how
A)
y1
and
y2 ,
this equation has one and only
-
does this not contradict Part A?
Transcribed Image Text:The linear and homogeneous differential equation of order 2 with coefficients in the range (a, b) is assumed. Show that for both independent linear solutions one root between two consecutive zeros y, and y,. B)Is there a linear and homogeneous differential equation of order 2 that the two functions with the criteria et and t2 – 1 are the answer to? If yes, how A) y1 and y2 , this equation has one and only - does this not contradict Part A?
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