What is the solution for (dx)/(dt)=3sqrt(xt) ?

The solution for (dx)/(dt)=3sqrt(xt) is x=t^3+c_{1}t^{3/2}+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dx)/(dt)=3sqrt(xt)

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

x = t^{3} + c_{1} t^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

x = t^{3} + c_{1} t^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

x = t^{3} + c_{1} t^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

What is the solution for (dx)/(dt)=3sqrt(xt) ?
The solution for (dx)/(dt)=3sqrt(xt) is x=t^3+c_{1}t^{3/2}+(c_{1}^2)/4