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Ifx=int0^y(dt)/(sqrt(1+9t^2))a n d(d^2y)...

`Ifx=int_0^y(dt)/(sqrt(1+9t^2))a n d(d^2y)/(dx^2)=a y ,t h e nfin da`

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`x=int_(0)^(y)(dt)/(sqrt(1+9t^(2)))`
Differentiating w.r.t `y`, we get
`(dx)/(dy)=1/(sqrt(1+9y^(2)))`
or `(dy)/(dx)=sqrt(1+9y^(2))`
or `d/(dx)((dy)/(dx))=d/(dy)(sqrt(1+9y^(2)))(dy)/(dx)`
or `(d^(2)y)/(dx^(2))=(18y)/(2sqrt(1+9y^(2)))sqrt(1+9y^(2))=9y`
or `a=9`
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