# NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 17

Get unlimited access to the best preparation resource for CBSE : fully solved questions with step-by-step explanation- practice your way to success.

Download PDF of This Page (Size: 135K) ↧

**Question 76: Fill in the blanks of the following (i to xi)**

(i) The degree of the differential equation is _______.

**Answer: Not defined**

(ii) The degree of the differential equation is __________.

**Answer: Not defined**

(iii) The number of arbitrary constants in the general solution of a differential equation of order three is _________.

**Answer: (3)**

(iv) is an equation of the type _________.

**Answer:**

(v) General solution of the differential equation of the type is given by _________.

**Answer:**

(vi) The solution of the differential equation is___________.

**Answer:**

(vii) The solution of is__________.

**Answer:**

(viii) The solution of the differential equation is ______.

**Answer:**

(ix) General solution of is _________.

**Answer:**

(x) The solution of differential equation is _________.

**Answer:**

(xi) The integrating factor of is __________.

**Answer:**

**Question 77: State True or False for the following:**

(i) Integrating factor of the differential of the form is given by

**Answer: True**

(ii) Solution of the differential equation of the type is given by

**Answer: True**

(iii) Correct substitution for the solution of the differential equation of the type ), where ) is a homogeneous function of zero degree is .

**Answer: True**

(iv) Correct substitution for the solution of the differential equation of the type where is a homogeneous function of the degree zero is *.*

**Answer: True**

(v) Number of arbitrary constants in the particular solution of a differential equation of order two is two.

**Answer: False**

(vi) The differential equation representing the family of circles will be of order two.

**Answer: False**

(vii) The solution of

**Answer: True**

(viii) Differential equation representing the family of curves is

**Answer: True**

(ix) The solution of the differential equation .

**Answer: True**

(x) Solution of

**Answer: True**

(xi) The differential equation of all non-horizontal lines in a plane is

**Answer: True**