What is the solution for (dv)/(dt)=-2sqrt(v),v(0)=4 ?

The solution for (dv)/(dt)=-2sqrt(v),v(0)=4 is v=t^2-4t+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dv)/(dt)=-2sqrt(v),v(0)=4

\frac{d v}{d t} = - 2 v, v (0) = 4

v = t^{2} - 4 t + 4

Solution steps

\frac{d v}{d t} = - 2 v

Solve separable ODE:

v = t^{2} - 4 t + 4

v = t^{2} - 4 t + 4

\frac{\partial}{\partial x} (3 x^{2} - 4 x y)

f (x) = (x^{2} + 2)^{2}, (0, 4)

x \to 2 lim (\frac{x ^{2} - 4}{x + 4})

\int (3 x - 2) e^{- x} d x

\int 125

What is the solution for (dv)/(dt)=-2sqrt(v),v(0)=4 ?
The solution for (dv)/(dt)=-2sqrt(v),v(0)=4 is v=t^2-4t+4