What is the solution for (dy)/(dx)=-8/9 x^2y^6 ?

The solution for (dy)/(dx)=-8/9 x^2y^6 is y=-\sqrt[5]{(27)/(5(-8x^3+c_{1))}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-8/9 x^2y^6

\frac{d y}{d x} = - \frac{8}{9} x^{2} y^{6}

Solution steps

\frac{d y}{d x} = - \frac{8}{9} x^{2} y^{6}

Solve separable ODE:

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

x^{5} \frac{d y}{d x} = 3 x^{2} 1 - y^{2}

x^{3} + 8 y \frac{d y}{d x} = 0

\frac{d y}{d x} = y (8 x^{2} + 1)

\frac{1}{y ^{2}} - \frac{3 x}{y ^{3}} \frac{d y}{d x} = 0

What is the solution for (dy)/(dx)=-8/9 x^2y^6 ?
The solution for (dy)/(dx)=-8/9 x^2y^6 is y=-\sqrt[5]{(27)/(5(-8x^3+c_{1))}}