Question

regarding seperation of varialble in differential equations;
v=(mg/b)-A/b*(e^(-bt/m)) and when we put v=v0 and t=0, the solution for A is v= mg/b + (v0-mg/b)*e^(-bt/m). I did the calculations and could not get to this result. Where do I do wrong?

Answer 1

\[v=mg/b - (A/b)*e ^{-bt/m} and so v=mg/b+(v _{0} - mg/b)*e ^{-bt/m} after substituting v=v _{0} and t=0\]