What is the solution for (2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0 ?

The solution for (2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0 is y=(c_{1})/x

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(2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0

(2 x + \frac{2}{y}) + (\frac{( 2 x ^{2} )}{y} + \frac{2 x}{y ^{2}}) y^{^{'}} = 0

y = \frac{c _{1}}{x}

Solution steps

(2 x + \frac{2}{y}) + (\frac{( 2 x ^{2} )}{y} + \frac{2 x}{y ^{2}}) y^{'} (x) = 0

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

f (x) = x^{4} - 10 x^{2} + 9

\int - \frac{14}{x ^{15}} d x

\int x^{n} d x

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

x \to 0 - lim (sin (\frac{1}{x}))

What is the solution for (2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0 ?
The solution for (2x+2/y)+(((2x^2))/y+(2x)/(y^2))y^'=0 is y=(c_{1})/x