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Popular >

(dv)/(dt)=g-5v

Solution

\frac{d v}{d t} = g - 5 v

Solution

v = - \frac{e ^{- 5 t - c_{1}}}{5} + \frac{g}{5}

Solution steps

\frac{d v}{d t} = g - 5 v

Solve separable ODE:

v = - \frac{e ^{- 5 t - c_{1}}}{5} + \frac{g}{5}

v = - \frac{e ^{- 5 t - c_{1}}}{5} + \frac{g}{5}

Graph

Popular Examples

(dv)/(dt)=9.8-0.05v^2

\frac{d v}{d t} = 9.8 - 0.05 v^{2}

3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4

3 x - 2 y 2 x + 1 \frac{d y}{d x} = 0, y (0) = - 4

(dx)/(dy)=2x^3y-10x^2y

\frac{d x}{d y} = 2 x^{3} y - 10 x^{2} y

derivative of y^4+5x= derivative of 11

\frac{d}{d x} (y^{4} + 5 x) = \frac{d}{d x} (11)

(dy)/(dx)=6xy-3y

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

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=g-5v ?
The solution for (dv)/(dt)=g-5v is v=-(e^{-5t-c_{1}})/5+g/5