Given that y, = sin(2 x) and y2 = cos(2 x) are solutions to y" +p(x) y' + qx) y =0. Let y, = V1 Y,+v2+y2 be the particular solution to y" +p(x) y' + q(x) y =6 x that obtained by the variation of parameters method. Find v,(x). vXx% sin(2 x) +x cos(2 x) a b. v,X)= 1x sin(2 x)+ cos(2 x) C. none d vo)= x sint2 x) + cos(ex) e v,X)= x sin(2 x)+ cos(2 x)
Given that y, = sin(2 x) and y2 = cos(2 x) are solutions to y" +p(x) y' + qx) y =0. Let y, = V1 Y,+v2+y2 be the particular solution to y" +p(x) y' + q(x) y =6 x that obtained by the variation of parameters method. Find v,(x). vXx% sin(2 x) +x cos(2 x) a b. v,X)= 1x sin(2 x)+ cos(2 x) C. none d vo)= x sint2 x) + cos(ex) e v,X)= x sin(2 x)+ cos(2 x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Given that y, = sin(2 x) and y2= cos(2 x) are solutions to y" +p(x) y' + q(x)y =0. Let y, = V1 Y1+V2+y2 be the particular
solution to y"+p(x) y' + q(x) y =6 x that obtained by the variation of parameters method. Find v,(x).
v,X)= 응 sin(2x) +
3
x cos(2 x)
а.
2
v,(X)= 1x sin(2 x)+ cos(2 x)
C. none
1
d. v,X)= x sin(2 x)+- cos(2 x)
2
3
3
v,(X)=
x sin(2 x)+
2
cos(2 x)
O aj
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