Let y (x) be the solution of the initial value problemy" – 2xy' – 2y = 0y (0) = ao and y (0) = a1Which statement (s) given below is/are TRUE?I) If ao = 0 then y (x) will be an odd function and if a1 = 0 then y (x) will be an even functionII ) If ao and a1 are positive, then y (x) is increasing on (0, o)III ) If ao is negative and a1 is positive, then y (x) is increasing on (-∞, 0)A) I onlyB) I and II onlyC) I and III onlyD) II and III onlyE) I, II and III

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Let y (x) be the solution of the initial value problem y" – 2xy' – 2y = 0 y (0) = ao and y (0) = a1 Which statement (s) given below is/are TRUE? I) If ao = 0 then y (x) will be an odd function and if a1 = 0 then y (æ) will be an even function II ) If ao and a1 are positive, then y (x) is increasing on (0, o) III ) If ao is negative and a1 is positive, then y (x) is increasing on (-∞, 0) A) I only B) I and II only C) I and III only D) II and III only E) I, II and III

Let y (x) be the solution of the initial value problem y" – 2xy' – 2y = 0 y (0) = ao and y (0) = a1 Which statement (s) given below is/are TRUE? I) If ao = 0 then y (x) will be an odd function and if a1 = 0 then y (æ) will be an even function II ) If ao and a1 are positive, then y (x) is increasing on (0, o) III ) If ao is negative and a1 is positive, then y (x) is increasing on (-∞, 0) A) I only B) I and II only C) I and III only D) II and III only E) I, II and III

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Let y (x) be the solution of the initial value problem
y" – 2xy' – 2y = 0
y (0) = ao and y (0) = a1
Which statement (s) given below is/are TRUE?
I) If ao = 0 then y (x) will be an odd function and if a1 = 0 then y (x) will be an even function
II ) If ao and a1 are positive, then y (x) is increasing on (0, o)
III ) If ao is negative and a1 is positive, then y (x) is increasing on (-∞, 0)
A) I only
B) I and II only
C) I and III only
D) II and III only
E) I, II and III

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