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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=((y^3)/(x^2))

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

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

Solution steps

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

Solve separable ODE:

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

\int x (x^{2} + 2)^{6} d x

\int - \frac{y ^{2}}{2} d y

\frac{2 x ^{2}}{6 x + 5}

\int_{0}^{l n (2)} e^{3 x} d x

\frac{d}{d x} (\frac{x}{y})

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