# NCERT Class 12-Mathematics: Chapter – 9 Differential Equations Part 17 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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