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Grade: 12 

                        
if xy=4 prove that x(dy/dx+y^2)=3y
6 years ago

Answers : (2)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points 
							Xy = 4
Differntiate wrt x
x.dy/dx + y = 0
dy/dx = -y/x

LHS
x(dy/dx + y^2)
= x(-y/x + y^2)
= x(-4/x^2 + 16/x^2)
= 12/x = 3. 4/x
= 3y = RHS

Thanks
Bharat Bajaj
Askiitians faculty
6 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points 
							Hi

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
6 years ago
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