Which of the following is/are homogeneous equation/s? 1. 3y" - 2y +1 = 0 dy II. 3 dy? dy + 2y = 0 dx? dx III. x y" -2xy + 2y = 0 IV. 2y" – 3y" = e" O II, III, and IV O I only O Il only O Both II and III O All of the Above Both I and II| Both I and II O IJI. and III

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 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Which of the following is/are homogeneous equation/s?
1. 3y"- 2y + 1 = 0
II. 3
– 2 +
dy
+2y = 0
da
da
da?
II. x² y" - 2xy + 2y = 0
IV. 2y" – 3y" = e*
O II, III, and IV
O I only
III only
Both II and Il
O All of the Above
Both I and II|
Both I and II
O1, II, and II
Ol only
O IV only
Transcribed Image Text:Which of the following is/are homogeneous equation/s? 1. 3y"- 2y + 1 = 0 II. 3 – 2 + dy +2y = 0 da da da? II. x² y" - 2xy + 2y = 0 IV. 2y" – 3y" = e* O II, III, and IV O I only III only Both II and Il O All of the Above Both I and II| Both I and II O1, II, and II Ol only O IV only
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