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If x^2/a^2 + y^2/b^2 = 1 , prove that (d...

If `x^2/a^2 + y^2/b^2 = 1` , prove that `(d^2y)/(dx^2) = - b^4 /(a^2 y^3)`

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`x^2/a^2+y^2/b^2=1`
`(2x)/a^2+(2yy')/b^2=0`
`x/a^2=-(yy')/b^2`
`(y')/b^2=-x/(a^2y)`
`(y')^2/b^4=x^2/(a^2y)`
`(y')^2/b^2=(x^2b^2)/(a^4y^2)-(1)`
from equation 1
`1/a^2+(y')^2/b^2+(yy'')/b^2=0`
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