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

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