What is the solution for (dv}{dt}=\frac{(10-v))/1 ?

The solution for (dv}{dt}=\frac{(10-v))/1 is v=-e^{-t-c_{1}}+10

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(dv}{dt}=\frac{(10-v))/1

\frac{d v}{d t} = \frac{( 10 - v )}{1}

v = - e^{- t - c_{1}} + 10

Solution steps

\frac{d v}{d t} = \frac{( 10 - v )}{1}

Solve separable ODE:

v = - e^{- t - c_{1}} + 10

v = - e^{- t - c_{1}} + 10

\int \frac{1}{x ( x - 1 ) ^{2}} d x

\int 16 - y d y

\int_{0}^{2} - 10 x^{3} x^{2} + 4 d x

6 t \frac{d y}{d t} + y = t^{7}

\frac{2}{x + 2}

What is the solution for (dv}{dt}=\frac{(10-v))/1 ?
The solution for (dv}{dt}=\frac{(10-v))/1 is v=-e^{-t-c_{1}}+10