1.

\( x^{3}+y^{3}=3 a x y . \)

Answer» Given, x2+y3=3axy...(1)


Differentiating equation,


⇒3x2+3y2dxdy​=3a(xdxdy​+y)


⇒3x2+3y2dxdy​=3axdxdy​+3ay


⇒(3y2−3ax)dxdy​=3ay−3x2


⇒3(y2−ax)dxdy​=2(ay−x2)


⇒dxdy​=y2−axay−x2​




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