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Popular >

(dv)/(dt)=-2v

Solution

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

Solution

v = e^{- 2 t + c_{1}}

Solution steps

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

Solve separable ODE:

v = e^{- 2 t + c_{1}}

v = e^{- 2 t + c_{1}}

Popular Examples

(x^2-9)/x (dy)/(dx)+y=0

\frac{x ^{2} - 9}{x} \frac{d y}{d x} + y = 0

(xy+x)dx=(x^2y^2+x^2+y^2+1)dy,y(1)=2

(x y + x) d x = (x^{2} y^{2} + x^{2} + y^{2} + 1) d y, y (1) = 2

(dy)/(dx)=-3/7 x^9y^8

\frac{d y}{d x} = - \frac{3}{7} x^{9} y^{8}

2 y^{^{'}} = y^{2} - 6 y + 9

\frac{d v}{d t} = 6 - 8 v

Frequently Asked Questions (FAQ)

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