What is the solution for (dy)/(dx)-1/x y=1-1/x ?

The solution for (dy)/(dx)-1/x y=1-1/x is y=xln(x)+1+c_{1}x

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(dy)/(dx)-1/x y=1-1/x

\frac{d y}{d x} - \frac{1}{x} y = 1 - \frac{1}{x}

y = x ln (x) + 1 + c_{1} x

Solution steps

\frac{d y}{d x} - \frac{1}{x} y = 1 - \frac{1}{x}

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y = x ln (x) + 1 + c_{1} x

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What is the solution for (dy)/(dx)-1/x y=1-1/x ?
The solution for (dy)/(dx)-1/x y=1-1/x is y=xln(x)+1+c_{1}x