What is the solution for (dv)/(dt)=0.64-v/(2940)*8,v(0)=0 ?

The solution for (dv)/(dt)=0.64-v/(2940)*8,v(0)=0 is v= 1176/5-(1176)/(5e^{\frac{2t){735}}}

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(dv)/(dt)=0.64-v/(2940)*8,v(0)=0

\frac{d v}{d t} = 0.64 - \frac{v}{2940} \cdot 8, v (0) = 0

v = \frac{1176}{5} - \frac{1176}{5 e ^{\frac{2 t}{735}}}

Solution steps

\frac{d v}{d t} = 0.64 - \frac{v}{2940} \cdot 8

Solve linear ODE:

v = \frac{1176}{5} - \frac{1176}{5 e ^{\frac{2 t}{735}}}

v = \frac{1176}{5} - \frac{1176}{5 e ^{\frac{2 t}{735}}}

\int (t^{3} - 3 t) (2 t) d t

\frac{d x}{d t} = 8 x t^{5}

\int sin^{2} (x) cos^{3} (x) d x

x y + y^{2} - x^{2} y^{^{'}} = 0

\frac{d}{d x} (5^{x + 2})

What is the solution for (dv)/(dt)=0.64-v/(2940)*8,v(0)=0 ?
The solution for (dv)/(dt)=0.64-v/(2940)*8,v(0)=0 is v= 1176/5-(1176)/(5e^{\frac{2t){735}}}