Q.8) The characteristic equation for y"" + y'+ y = 0, is: a) 2* = 22 Q.9) The form of the particular solution of the equation u" d) m +1 b) 2* = -22 %3D c) 24 + 1 = -1 %3D d) 2* +A = 1

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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d) m +1
Q.8) The characteristic equation for y + y'+y = 0 , is :
a) 2* = 22
Q.9) The form of the particular solution of the equation y" + 9y = 4 sin 3x + 2cos3x, is:
a) yр (x) %3D А соs3x
c) y, (x) = A sin3x
Q.10) The recurrence relation which obtained from solving y"+y = 0 by using power series, is:
b) 2* = -21
c) 14 +1 = -1
d) 2* +A 1
%3D
b) yp(x) = A cos3x + Bsin3x
d) yp (x) = Axcos3x + Bxsin3x
%3D
am
a) am = (m +2)(m + 1)am+2
b) am+2
%3D
(m+2)(m+1)
c) am = -(m + 2)(m+ 1)am+2
d) am+2
%3D
%3D
(m+2)(m+1)
0 11) Reurito th
Transcribed Image Text:d) m +1 Q.8) The characteristic equation for y + y'+y = 0 , is : a) 2* = 22 Q.9) The form of the particular solution of the equation y" + 9y = 4 sin 3x + 2cos3x, is: a) yр (x) %3D А соs3x c) y, (x) = A sin3x Q.10) The recurrence relation which obtained from solving y"+y = 0 by using power series, is: b) 2* = -21 c) 14 +1 = -1 d) 2* +A 1 %3D b) yp(x) = A cos3x + Bsin3x d) yp (x) = Axcos3x + Bxsin3x %3D am a) am = (m +2)(m + 1)am+2 b) am+2 %3D (m+2)(m+1) c) am = -(m + 2)(m+ 1)am+2 d) am+2 %3D %3D (m+2)(m+1) 0 11) Reurito th
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