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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(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}

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