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dy/dx=sqrt(x^2-25)/3x

y(x)=5/3*arcsin(5/|x|)+1/3*sqrt(x^2-25)+C

y(5)=5/3*arcsin(1)+C=5/3*Pi/2+C=3 so C=3-5/3*Pi/2=3-5Pi/6

Finally y(x)=5/3*arcsin(5/|x|)+1/3*sqrt(x^2-25)+3-5Pi/6

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