Q.4) The Wronskian W(e-x, e*, e2x), is: a) 6e% Q.5) The general solution of the equation yto + 9y" = 0, is: a) y(x) = c + c2x + Acos3x + Bsin3x c) y(x) = c + c2 + Acos3x + Bsin3x Q.6) The singular point (s) of (x2 + 1)y" + x y' +y = 0, is (are): a) ±1 b) -6e2 c) b)y(x) = c + C2x + Acos2x + Bsin2x d) y(x) = c + C2 + Acos2x + Bsin2x %3D %3D b) ti c) 0 d) {0,±i }

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
Question
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Q.4) The Wronskian W(e-x, e%, e2x), is: a) 6e*
Q.5) The general solution of the equation yiv + 9y" = 0, is:
a) y(x) = c + c2x + Acos3x + Bsin3x
c) y(x) = c1 + c2 + Acos3x + Bsin3x
Q.6) The singular point (s) of (x2 + 1)y" +x y' +y = 0, is (are):
a) ±1
b) -6e2
c)
b)y(x) = c + c2x + Acos2x +Bsin2x
d) y(x) = c + C2 + Acos2x + Bsin2x
%3D
b) ti
c) 0
d) {0,±i }
Transcribed Image Text:Q.4) The Wronskian W(e-x, e%, e2x), is: a) 6e* Q.5) The general solution of the equation yiv + 9y" = 0, is: a) y(x) = c + c2x + Acos3x + Bsin3x c) y(x) = c1 + c2 + Acos3x + Bsin3x Q.6) The singular point (s) of (x2 + 1)y" +x y' +y = 0, is (are): a) ±1 b) -6e2 c) b)y(x) = c + c2x + Acos2x +Bsin2x d) y(x) = c + C2 + Acos2x + Bsin2x %3D b) ti c) 0 d) {0,±i }
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