What is the solution for (dv)/(dt)=0.64-v/(29400)*8,v(0)=0 ?

The solution for (dv)/(dt)=0.64-v/(29400)*8,v(0)=0 is v=2352-(2352)/(e^{t/(3675))}

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(dv)/(dt)=0.64-v/(29400)*8,v(0)=0

\frac{d v}{d t} = 0.64 - \frac{v}{29400} \cdot 8, v (0) = 0

v = 2352 - \frac{2352}{e ^{\frac{t}{3675}}}

Solution steps

\frac{d v}{d t} = 0.64 - \frac{v}{29400} \cdot 8

Solve linear ODE:

v = 2352 - \frac{2352}{e ^{\frac{t}{3675}}}

v = 2352 - \frac{2352}{e ^{\frac{t}{3675}}}

cos (2 (t + 1))

\int \frac{x ^{2} - 16 x - 1}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

\frac{\partial}{\partial z} (x y + z^{2})

\frac{\partial}{\partial x} (x^{y} ln (x))

\frac{\partial}{\partial L} (L^{\frac{1}{2}} K^{\frac{1}{2}})

What is the solution for (dv)/(dt)=0.64-v/(29400)*8,v(0)=0 ?
The solution for (dv)/(dt)=0.64-v/(29400)*8,v(0)=0 is v=2352-(2352)/(e^{t/(3675))}