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

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

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UNITED BOOK HOUSE-SET 6-EXERCISE
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  10. If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2...

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  11. If y = (x+ sqrt(1+x^2))^n then prove that (1+x^2)y2+xy1 = n^2y.

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  13. Evaluate: int e^x (2-sin 2x)/(1-cos 2x)dx

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  14. Solve: (x+3)(dy)/(dx)-3y =(x+3)^5

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  15. Solve: y^2dx+(xy+x^2)dy =0

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