Match the following : Column I Column II (A) The differential equation of the family of curves ye (A cosx + B sinx), where A, B (p) 2,1 are arbitrary constants, has the degree n and order m. Then, the values of n and m are, respectively 1, 1 (B) The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively (q) (C) The order and degree of the differential equations of the family of circles touching the X-axis at the origin, are respectively (r) 2, 2 1, 2 (D) The degree and order of the differential equation of the family of ellipse having the same foci, are respectively. (s)

Match the following : Column I Column II (A) The differential equation of the family of curves ye (A cosx + B sinx), where A, B (p) 2,1 are arbitrary constants, has the degree n and order m. Then, the values of n and m are, respectively 1, 1 (B) The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively (q) (C) The order and degree of the differential equations of the family of circles touching the X-axis at the origin, are respectively (r) 2, 2 1, 2 (D) The degree and order of the differential equation of the family of ellipse having the same foci, are respectively. (s)

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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Concept explainers

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

Match the following :
Column II
Column I
(A)
The differential equation of the family of curves y= (A cosx + B sin x), where A, B
(p)
2, 1
are arbitrary constants, has the degree n and order m. Then, the values of n and m are,
respectively
(B) The degree and order of the differential equation of the family of all parabolas whose
axis is the x-axis, are respectively
(9)
1,1
2, 2
(C) The order and degree of the differential equations of the family of circles touching the
X-axis at the origin, are respectively
(r)
1, 2
(D) The degree and order of the differential equation of the family of ellipse having the same
foci, are respectively.
(s)

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