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[" 10.If "x^(3)+y^(3)=3axy," prove that ...

[" 10.If "x^(3)+y^(3)=3axy," prove that "(d^(2)y)/(dx^(2))=-(2a^(2)xy)/((y^(2)-ax)^(3))],[" (2) Standard Results "]

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If x^(3)+y^(3)-3axy=0 then prove that (d^(2)y)/(dx^(2))=(2a^(2)xy)/((ax-y^(2))^(3))

If y^(3)-y=2x, prove that (d^(2)y)/(dx^(2))=-(24y)/((3y^(2)-1)^(3))

If x^(3)+y^(3)+3ax^(2)=0 then prove that (d^(2)y)/(dx^(2))+(2a^(2)x^(2))/(y^(5))=0

If x^(3)+y^(3)=3ax^(2) , show that, (d^(2)y)/(dx^(2))+(2a^(2)x^(2))/(y^(5))=0 .

If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .

If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .

If y^(3)-3ax^(2)+x^(3)=0, then prove that (d^(2)y)/(dx^(2))+(2a^(2)x^(2))/(y^(5))=0

If y^(3)-3ax^(2)+x^(3)=0, then prove that (d^(2)y)/(dx^(2))+(2a^(2)x^(2))/(y^(5))=0

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

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