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Class 12
Maths :-NCERT Solutions - Differential Equations.

Page No 407:
Question 17:

Which of the following is a homogeneous differential equation?

A. 

B. 

C. 

D. 


Answer:

Function F(x, y) is said to be the homogenous function of degree n, if

F(λx, λy) = λn F(x, y) for any non-zero constant (λ).

Consider the equation given in alternativeD:

Hence, the differential equation given in alternative D is a homogenous equation.


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