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Integrating dy = (sqrt(x^2-25)/(3x))dx in terms of x gives the equation
y = (1/9) (x^2-25)^(3/2) + C.
Plugging in for the point (5,3) gives C = 3.
This means y = (1/9) (x^2-25)^(3/2) + 3.
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