What is the solution for (1+ln(x)+y/x)dx=(5-ln(x))dy ?

The solution for (1+ln(x)+y/x)dx=(5-ln(x))dy is y=(xln(x))/(5-ln(x))+(c_{1})/(5-ln(x))

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(1+ln(x)+y/x)dx=(5-ln(x))dy

(1 + ln (x) + \frac{y}{x}) d x = (5 - ln (x)) d y

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

Solution steps

(1 + ln (x) + \frac{y}{x}) d x = (5 - ln (x)) d y

Solve linear ODE:

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

y = \frac{x ln ( x )}{5 - ln ( x )} + \frac{c _{1}}{5 - ln ( x )}

\frac{\partial}{\partial y} (5 x^{2} + y^{2})

\int \frac{7 x ^{6} + 8}{x ^{7} + 8 x} d x

\int_{1}^{e^{5}} x^{5} ln (x) d x

\frac{\partial}{\partial x} (80 x^{\frac{1}{2}} z^{\frac{1}{2}})

y = x^{2}, y = 2 x + 3

What is the solution for (1+ln(x)+y/x)dx=(5-ln(x))dy ?
The solution for (1+ln(x)+y/x)dx=(5-ln(x))dy is y=(xln(x))/(5-ln(x))+(c_{1})/(5-ln(x))