# NCERT Class 12-Mathematics: Chapter – 9 Differential Equations Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 16**:

The solution of the differential equation represents a family of

(A) Straight lines

(B) Circles

(C) Parabolas

(D) Ellipses

**Answer**:

Correct answer is (C) .

Given equation can be written as

which represents the family of parabolas

**Question 17**:

The integrating factor of the differential equation is

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (B) . Given equation can be written as

Therefore,

**Question 18**:

A solution of the differential equation is

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (C) .

**Question 19**:

Which of the following is not a homogeneous function of and .

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (D) .

**Question 20**:

Solution of the differential equation is

(A)

(B)

(C)

(D)

**Answer**:

Correct answer is (C) .

From the given equation, we get giving .

**Question 21**:

The solution of the differential equation is

(A)

(B)

(C)

(D)

**Answer**:

Correct answer (D) .

. Therefore, the solution is