What is the solution for (dy)/y =(dx)/((x-9)^2-5^2) ?

The solution for (dy)/y =(dx)/((x-9)^2-5^2) is y=(c_{1}\sqrt[10]{x-14})/(\sqrt[10]{x-4)}

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(dy)/y =(dx)/((x-9)^2-5^2)

\frac{d y}{y} = \frac{d x}{( x - 9 ) ^{2} - 5 ^{2}}

Solution steps

\frac{d y}{y} = \frac{d x}{( x - 9 ) ^{2} - 5 ^{2}}

Solve separable ODE:

y^{^{'}} = - \frac{0.1 y}{0.5 - 0.025 x}

4 y^{11} + y^{^{'}} = 0

\frac{d p}{d t} = t^{2} p - 7 p + t^{2} - 7

6 \frac{d y}{d x} + 5 x^{2} y = 97 x^{2}

\frac{d y}{d t} = y \cdot t^{3} - 1.5 \cdot y

What is the solution for (dy)/y =(dx)/((x-9)^2-5^2) ?
The solution for (dy)/y =(dx)/((x-9)^2-5^2) is y=(c_{1}\sqrt[10]{x-14})/(\sqrt[10]{x-4)}