What is the solution for (dx)/(dt)=x^{2/3} ?

The solution for (dx)/(dt)=x^{2/3} is x=(t^3}{27}+(c_{1}t^2)/9+(c_{1}^2t)/9+\frac{c_{1}^3)/(27)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=x^{2/3}

\frac{d x}{d t} = x^{\frac{2}{3}}

x = \frac{t ^{3}}{27} + \frac{c _{1} t ^{2}}{9} + \frac{c _{1}^{2} t}{9} + \frac{c _{1}^{3}}{27}

Solution steps

\frac{d x}{d t} = x^{\frac{2}{3}}

Solve separable ODE:

x = \frac{t ^{3}}{27} + \frac{c _{1} t ^{2}}{9} + \frac{c _{1}^{2} t}{9} + \frac{c _{1}^{3}}{27}

x = \frac{t ^{3}}{27} + \frac{c _{1} t ^{2}}{9} + \frac{c _{1}^{2} t}{9} + \frac{c _{1}^{3}}{27}

\frac{1}{4 s ^{2}}

y^{^{'}} - y = 3 t e^{2 t}, y (0) = 1

2 sin (t)

\frac{\partial}{\partial x} (y e^{(\frac{x}{y})})

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} - 4 x}{x + 1})

What is the solution for (dx)/(dt)=x^{2/3} ?
The solution for (dx)/(dt)=x^{2/3} is x=(t^3}{27}+(c_{1}t^2)/9+(c_{1}^2t)/9+\frac{c_{1}^3)/(27)