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Popular >

(dv)/(dt)=1-7v

Solution

\frac{d v}{d t} = 1 - 7 v

Solution

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{1}{7}

Solution steps

\frac{d v}{d t} = 1 - 7 v

Solve separable ODE:

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{1}{7}

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{1}{7}

Graph

Popular Examples

(dy)/(dx)=2y*cos(x)

\frac{d y}{d x} = 2 y \cdot cos (x)

sqrt(1+x^3)(dy)/(dx)=x^2y+x^2

1 + x^{3} \frac{d y}{d x} = x^{2} y + x^{2}

sqrt(x)(dy)/(dx)+sqrt(y)=0

x \frac{d y}{d x} + y = 0

(dy)/(dx)=x^4(y-4),y(0)=8

\frac{d y}{d x} = x^{4} (y - 4), y (0) = 8

y^'=0.1sqrt(y),y(0)=8

y^{^{'}} = 0.1 y, y (0) = 8

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=1-7v ?
The solution for (dv)/(dt)=1-7v is v=-(e^{-7t-c_{1}})/7+1/7