# NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 4

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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