Find the general solution for the equation (px-py)(py+x)=2p by reducing into Clairaut s form by using the substitution X=x2, Y=y2 where p= ( frac{dy}{dx} ).

Question

TuteeHUB · Accepted Answer

(x^2 = cy^2     frac{1}{2c+1}  )

TuteeHUB · Answer

(y^2 = x +   frac{c}{c+1}  )

TuteeHUB · Answer

(y^2 = cx^2     frac{2c}{c+1}  )

TuteeHUB · Answer

(x^2 = cy^2     frac{1}{2c+1}  )

TuteeHUB · Answer

(x^2 = y^2 +   frac{c}{2c+2}  )

1.	Find the general solution for the equation (px-py)(py+x)=2p by reducing into Clairaut s form by using the substitution X=x², Y=y² where p= ( frac{dy}{dx} ).
A.	(y^2 = x + frac{c}{c+1} )
B.	(y^2 = cx^2 frac{2c}{c+1} )
C.	(x^2 = cy^2 frac{1}{2c+1} )
D.	(x^2 = y^2 + frac{c}{2c+2} )
Answer» C. (x^2 = cy^2 frac{1}{2c+1} )

Find the general solution for the equation (px-py)(py+x)=2p by reducing into Clairaut s form by using the substitution X=x², Y=y² where p= ( frac{dy}{dx} ).

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