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Popular >

(dv)/(dt)=4-6v

Solution

\frac{d v}{d t} = 4 - 6 v

Solution

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

Solution steps

\frac{d v}{d t} = 4 - 6 v

Solve separable ODE:

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

Popular Examples

(dy)/(dx)=(2x+sec^2(x))/(2y),y(0)=-5

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

xy^'=(1+y)^{1/2}

x y^{^{'}} = (1 + y)^{\frac{1}{2}}

x y + x y^{^{'}} = x

\frac{d x}{d t} = t x^{2}

(dy)/(dx)=(y^2-1)/(x^2-1),y(4)=4

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (4) = 4

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=4-6v ?
The solution for (dv)/(dt)=4-6v is v=-(e^{-6t-c_{1}})/3+2/3