What is the solution for (2xy+x^3)y^'= 1/2 x^2y+y^2 ?

The solution for (2xy+x^3)y^'= 1/2 x^2y+y^2 is y=c_{1}sqrt(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(2xy+x^3)y^'= 1/2 x^2y+y^2

(2 x y + x^{3}) y^{^{'}} = \frac{1}{2} x^{2} y + y^{2}

y = c_{1} x

Solution steps

(2 x y + x^{3}) y^{'} (x) = \frac{1}{2} x^{2} y + y^{2}

Solve separable ODE:

y = c_{1} x

y = c_{1} x

What is the solution for (2xy+x^3)y^'= 1/2 x^2y+y^2 ?
The solution for (2xy+x^3)y^'= 1/2 x^2y+y^2 is y=c_{1}sqrt(x)