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

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

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

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

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

(iv) is an equation of the type _________.

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

(vi) The solution of the differential equation is___________.

(vii) The solution of is__________.

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

(ix) General solution of is _________.

(x) The solution of differential equation is _________.

(xi) The integrating factor of is __________.

Question 77: State True or False for the following:

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

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

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

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

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

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

(vii) The solution of

(viii) Differential equation representing the family of curves is

(ix) The solution of the differential equation .