What is the solution for (dv)/(dt)=k*(275-v),v(0)=0 ?

The solution for (dv)/(dt)=k*(275-v),v(0)=0 is v=-275e^{-kt}+275

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(dv)/(dt)=k*(275-v),v(0)=0

\frac{d v}{d t} = k \cdot (275 - v), v (0) = 0

v = - 275 e^{- k t} + 275

Solution steps

\frac{d v}{d t} = k \cdot (275 - v)

Solve separable ODE:

v = - 275 e^{- k t} + 275

v = - 275 e^{- k t} + 275

cos^{2} (x) + sin^{2} (x)

y = ln (x^{2} - 9 x + 1), (9, 0)

\int 5 sin (t) d t

\frac{0.625}{s + 4}

x \to 0 lim (\frac{x ^{2} + 2 x - 99}{x})

What is the solution for (dv)/(dt)=k*(275-v),v(0)=0 ?
The solution for (dv)/(dt)=k*(275-v),v(0)=0 is v=-275e^{-kt}+275