What is the solution for (dy}{dx}=\frac{(y-x))/x ?

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

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(dy}{dx}=\frac{(y-x))/x

\frac{d y}{d x} = \frac{( y - x )}{x}

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

Solution steps

\frac{d y}{d x} = \frac{( y - x )}{x}

Solve linear ODE:

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

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

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x \to 0 lim (\frac{9 ^{x} - 5 ^{x}}{x})

\frac{\partial}{\partial y} (\frac{y ln ( y )}{x - 1})

\int \frac{2}{x 9 + x ^{2}} d x

\int \frac{6 x + 5}{( 3 x ^{2} + 5 x ) ^{6}} d x

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