The differential equation of : Column- IColumn- II(i) y = a sin (mx + b), a, b and m are parameter[A] y3 = y1(ii) y = ax2 + bx + c [B] y3 = 0(iii) y = Aex + Be–x + C[C] y3y = y1y2

The differential equation of : Column- IColumn- II(i) y = …

Maths Differential Equations General Matrix Match Questions

Published on: August 14, 2026

The differential equation of :

Column- I	Column- II
(i) y = a sin (mx + b), a, b and m are parameter	[A] y3 = y1
(ii) y = ax2 + bx + c	[B] y3 = 0
(iii) y = Aex + Be–x + C	[C] y3y = y1y2

Correct Matrix Matching

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The correct answer is:

(i) [C]; (ii) [B]; (iii) [A]

Ans.

(i) [C]

(ii) [B]

(iii) [A]

Sol. Differentiating twice w.r.t x the equation in

(i), y 1 = ma cos (mx + b), y 2 = –am 2 sin (mx + b) = –m 2 y

Differentiating again, we get y 3 = –m 2 y 1 = y 1

⇒ y 3 y= y 2 y 1

Differentiating twice equation in (iii) w. r. t. x, we get

y 1 = Ae x – Be –x , y 2 = Ae x + Be –x = y – c ⇒ y 3 = y 1

Differentiating thrice w.r.t. x the equation in (ii), we have

y 3 = 0

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