What is the solution for (dv)/(dt)=sqrt(9v) ?

The solution for (dv)/(dt)=sqrt(9v) is v=(9t^2)/4+(3c_{1}t)/2+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dv)/(dt)=sqrt(9v)

\frac{d v}{d t} = 9 v

v = \frac{9 t ^{2}}{4} + \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d v}{d t} = 9 v

Solve separable ODE:

v = \frac{9 t ^{2}}{4} + \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

v = \frac{9 t ^{2}}{4} + \frac{3 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

\frac{d h}{d t} = - \frac{3}{100} h - 17

x y^{2} d x - 4 x^{2} y d y = 0

y^{^{'}} - x y = 0, y (0) = 1

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

\frac{d y}{d x} = 6 x^{2} - 3 x^{2} y

What is the solution for (dv)/(dt)=sqrt(9v) ?
The solution for (dv)/(dt)=sqrt(9v) is v=(9t^2)/4+(3c_{1}t)/2+(c_{1}^2)/4