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Popular >

(dv)/(dt)=-kv

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy}{dx}-(7y)/x =\frac{y^3)/(x^9)

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

derivative of (3x^2/(2x+1))

\frac{d}{d x} (\frac{3 x ^{2}}{2 x + 1})

(dy)/(dx)=((x-2))/((y-2))

\frac{d y}{d x} = \frac{( x - 2 )}{( y - 2 )}

(1+cos(t))(dy)/(dt)=(1-e^{-y})sin(t)

(1 + cos (t)) \frac{d y}{d t} = (1 - e^{- y}) sin (t)

derivative of y=log_{5}(x)+log_{5}(x^4)derivative of

y = lo g_{5} (x) + lo g_{5} (x^{4})

Frequently Asked Questions (FAQ)

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