What is the solution for (y/x+9x)dx+(ln(x)-2)dy=0 ?

The solution for (y/x+9x)dx+(ln(x)-2)dy=0 is y=-(9x^2)/(2(ln(x)-2))+(c_{1})/(ln(x)-2)

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(y/x+9x)dx+(ln(x)-2)dy=0

(\frac{y}{x} + 9 x) d x + (ln (x) - 2) d y = 0

y = - \frac{9 x ^{2}}{2 ( ln ( x ) - 2 )} + \frac{c _{1}}{ln ( x ) - 2}

Solution steps

(\frac{y}{x} + 9 x) d x + (ln (x) - 2) d y = 0

Solve linear ODE:

y = - \frac{9 x ^{2}}{2 ( ln ( x ) - 2 )} + \frac{c _{1}}{ln ( x ) - 2}

y = - \frac{9 x ^{2}}{2 ( ln ( x ) - 2 )} + \frac{c _{1}}{ln ( x ) - 2}

\int (x^{n} ln (x)) d x

\int_{- 2}^{0} 3 w 4 - w^{2} d w

t \to 0 lim (\frac{e ^{t} - 1}{t})

f (x) = (\frac{x}{7} + \frac{7}{x})^{7}

\frac{d ^{4}}{d x ^{4}} (ln (1 - x))

What is the solution for (y/x+9x)dx+(ln(x)-2)dy=0 ?
The solution for (y/x+9x)dx+(ln(x)-2)dy=0 is y=-(9x^2)/(2(ln(x)-2))+(c_{1})/(ln(x)-2)