Match List-I with List-II List-

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Match List-I with List-II

List-I Differential Equations	List-II Degree/Order
(A) Degree of the differential equation $\frac{d^3y}{dx^3}+2\log s.y=0$	(I)3
(B) Order of the differential equation $\frac{d^4y}{dx^4}+(\frac{dy}{dx})^4+xy=0$	(II) 2
(C) Degree of the differential equation $(\frac{d^4y}{dx^4})^2+(\frac{dy}{dx})^3+x^2y=0$	(III) 1
(D) Order of the differential equation $\frac{d^3y}{dx^3}+y(\frac{dy}{dx})^3=0$	(IV) 4

Choose the correct answer from the options given below.

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

List-I Differential Equations	List-II Degree/Order
(A) Degree of the differential equation $\frac{d^3y}{dx^3}+2\log s.y=0$	(III) 1
(B) Order of the differential equation $\frac{d^4y}{dx^4}+(\frac{dy}{dx})^4+xy=0$	(IV) 4
(C) Degree of the differential equation $(\frac{d^4y}{dx^4})^2+(\frac{dy}{dx})^3+x^2y=0$	(II) 2
(D) Order of the differential equation $\frac{d^3y}{dx^3}+y(\frac{dy}{dx})^3=0$	(I) 3

$\text{(A) Degree of }\frac{d^{3}y}{dx^{3}}+2\log y=0 \;\Rightarrow\; 1$

$\text{(B) Order of }\frac{d^{4}y}{dx^{4}}+\left(\frac{dy}{dx}\right)^{4}+xy=0 \;\Rightarrow\; 4$

$\text{(C) Degree of }\left(\frac{d^{4}y}{dx^{4}}\right)^{2}+\left(\frac{dy}{dx}\right)^{3}+x^{2}y=0 \;\Rightarrow\; 2$

$\text{(D) Order of }\frac{d^{3}y}{dx^{3}}+y\left(\frac{dy}{dx}\right)^{3}=0 \;\Rightarrow\; 3$

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