Match List - I with List - II.

CUET Preparation Today

Start Free Mocks

Home Questions TZHQMEDA5Z

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Match List - I with List - II.

List - I Differential Equations		List – II Degree
(A)	$\left(\frac{d y}{d x}\right)^3+y x=0$	(I)	2
(B)	$e^{\frac{d y}{d x}}+y^2+y''=0 $	(II)	1
(C)	$x y y''+x\left(y'\right)^2-y y'=0$	(III)	Not defined
(D)	$\left(y''\right)^2+y=0$	(IV)	3

Choose the correct answer from the options given below :

Options:

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(II), (B)-(III), (C)-(IV), (D)-(I)

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Correct Answer:

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Explanation:

A → for this equation highest derivative → $\frac{dy}{dx}$ with degree → 3 as its power (IV)

B → as an exponential is involved → degree no defined (III)

C → highest derivative → y'' highest power → 1 = degree (II)

D → highest derivative → y'' whose highest power → 2 → degree (I)