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}

Solve linear ODE:

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

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

d er i v a t i v e f (x) = cos (6 x)

d er i v a t i v e \frac{tan ( 3 x )}{x ^{2}}

\int \frac{24 x ^{6} - 24 x ^{4} + x}{x} d x

x d y = d x

\frac{d}{d x} (ln (\frac{1 + x}{1 - x}))

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