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

taniska Grade: 12

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

5 years ago

Answers : (2)

bharat bajaj

IIT Delhi

askIITians Faculty

122 Points

							Xy = 4Differntiate 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

5 years ago

Arun Kumar

IIT Delhi

askIITians Faculty

256 Points

							Hi

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

5 years ago

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