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If x y^2=1," "prove that 2(dy)/(dx)+y^3...

If `x y^2=1`,`" "`prove that
`2(dy)/(dx)+y^3=0`

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`xy^2=1`
`x=1/y^2`
`dx/dy​=−2/y^3`
​`dy/dx​=−y^3/2`
​`2dy/dx​+y^3=0`
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