What is the solution for ((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1 ?

The solution for ((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1 is y= 4/(sqrt(x^2-9))

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((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1

\frac{( x ^{2} - 9 )}{x} \cdot \frac{d y}{d x} + y = 0, y (5) = 1

y = \frac{4}{x ^{2} - 9}

Solution steps

\frac{( x ^{2} - 9 )}{x} \cdot \frac{d y}{d x} + y = 0

Solve separable ODE:

y = \frac{4}{x ^{2} - 9}

y = \frac{4}{x ^{2} - 9}

What is the solution for ((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1 ?
The solution for ((x^2-9))/x*(dy)/(dx)+y=0,y(5)=1 is y= 4/(sqrt(x^2-9))