What is the solution for (1+ln(x)+y/x)dx=(2-ln(x))dy ?

The solution for (1+ln(x)+y/x)dx=(2-ln(x))dy is y=(xln(x))/(2-ln(x))+(c_{1})/(2-ln(x))

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(1+ln(x)+y/x)dx=(2-ln(x))dy

(1 + ln (x) + \frac{y}{x}) d x = (2 - ln (x)) d y

y = \frac{x ln ( x )}{2 - ln ( x )} + \frac{c _{1}}{2 - ln ( x )}

Solution steps

(1 + ln (x) + \frac{y}{x}) d x = (2 - ln (x)) d y

Solve linear ODE:

y = \frac{x ln ( x )}{2 - ln ( x )} + \frac{c _{1}}{2 - ln ( x )}

y = \frac{x ln ( x )}{2 - ln ( x )} + \frac{c _{1}}{2 - ln ( x )}

\frac{\partial}{\partial x} (e^{- 3 x - y})

\frac{d}{d x} (arccos (\frac{11}{x}))

\int \frac{8 e ^{3 t}}{1 + e ^{6 t}} d t

\int \frac{x}{x ^{2} + 5} d x

y = (1 - \frac{x}{7})^{- 7}

What is the solution for (1+ln(x)+y/x)dx=(2-ln(x))dy ?
The solution for (1+ln(x)+y/x)dx=(2-ln(x))dy is y=(xln(x))/(2-ln(x))+(c_{1})/(2-ln(x))