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If sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3),...

If `sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6,)` w h e r e-1x,1a n d-1

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Given `\sqrt{(1-x^{6})}+\sqrt{(1-y^{6})}=a^{3}(x^{3}-y^{3})`

Put `x^{3}=\sin \theta, y^{3}=\sin \phi` $$ \cos \theta+\cos \phi=a^{3}(\sin \theta-\sin \phi) $$ ...
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If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6,) w h e r e-1x,1a n d-1

If sqrt(1-x^(6))+sqrt(1-y^(6))=a(x^(3)-y^(3)), then prove that (dy)/(dx)=(x^(2))/(y^(2))sqrt((1-y^(6))/(1-x^(6)))

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If sqrt((1-x^(6)))+sqrt((1-y^(6)))=a(x^(3)-y^(3)) , a is constant and (dy)/(dx)=f(x,y) sqrt(((1-y^(6))/(1-x^(6)))) , then

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