What is the solution for (x^2+(2y)/x)dx=(3-ln(x^2))dy ?

The solution for (x^2+(2y)/x)dx=(3-ln(x^2))dy is y=(x^3)/(3(3-2ln(x)))+(c_{1})/(3-2ln(x))

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(x^2+(2y)/x)dx=(3-ln(x^2))dy

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

Solution steps

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

Solve linear ODE:

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

\int 1 + 3 x d x

\int 28 x^{3} - 18 x^{2} + 10 x d x

\frac{d}{d x} (\frac{1}{x ^{\frac{2}{3}}})

x \to 1 lim (arcsin (x))

\frac{d}{d x} (\frac{4 x ^{2} - 5 x + 1}{3 x + 7})

What is the solution for (x^2+(2y)/x)dx=(3-ln(x^2))dy ?
The solution for (x^2+(2y)/x)dx=(3-ln(x^2))dy is y=(x^3)/(3(3-2ln(x)))+(c_{1})/(3-2ln(x))