What is the solution for dt=(200dm)/(1600-3m) ?

The solution for dt=(200dm)/(1600-3m) is m=-(e^{(-3t-c_{1})/(200)})/3+1600/3

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dt=(200dm)/(1600-3m)

d t = \frac{200 d m}{1600 - 3 m}

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

Solution steps

d t = \frac{200 d m}{1600 - 3 m}

Solve separable ODE:

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

\frac{d V}{d t} = 20 - \frac{5}{100} V

\frac{d y}{d x} = - \frac{6}{7} x^{7} y^{9}

x^{6} y^{^{'}} = \frac{5 e ^{y}}{3}

\frac{x d y}{d x} - y - 1 = 0

\frac{d y}{d x} = \frac{y e ^{x + 9}}{x ^{2} + 2}

What is the solution for dt=(200dm)/(1600-3m) ?
The solution for dt=(200dm)/(1600-3m) is m=-(e^{(-3t-c_{1})/(200)})/3+1600/3