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Popular >

(dv)/(dt)=2-8v

Solution

\frac{d v}{d t} = 2 - 8 v

Solution

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

Solution steps

\frac{d v}{d t} = 2 - 8 v

Solve separable ODE:

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

Popular Examples

(dy)/(dx)=(e^x)/(cos(y))

\frac{d y}{d x} = \frac{e ^{x}}{cos ( y )}

7sqrt(xy)((dy)/(dx))=3

7 x y (\frac{d y}{d x}) = 3

y^'=e^y5^x,y(0)=ln(ln(5))

y^{^{'}} = e^{y} 5^{x}, y (0) = ln (ln (5))

y^{^{'}} = - 10 x^{2} y

x^3y^'+(5x^2-8)y=0

x^{3} y^{^{'}} + (5 x^{2} - 8) y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=2-8v ?
The solution for (dv)/(dt)=2-8v is v=-(e^{-8t-c_{1}})/4+1/4