find a general sulution to the differential eguatiun using variation of A parametert b)yィyニ tantee -]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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differential equations

find a
differential
parametert
०पर प
eguation usng varia thon
general sulution to the
4.
b) y'ty=tantee
+2
Transcribed Image Text:find a differential parametert ०पर प eguation usng varia thon general sulution to the 4. b) y'ty=tantee +2
Expert Solution
Step 1

Method of Variation of Parameters:

This method is quite general and applies to equations of the form

y''+py'+qy=ft

where p, q, ft are functions of t

It gives Particular Solution:

yp=-y1y2ftWdt+y2y1ftWdt

where y1, y2 are solutions of y''+py'+qy=0

and W=y1y2y1'y2' is Wronskian of y1, y2.

 

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