A $4-$mF capacitor has the terminal voltage

$v=\{\begin{array}{cc}50V,& t0\\ A{e}^{-100t}+B{e}^{-600t}V,& t0\end{array}$

If the capacitor has an initial current of $2A,$

find the constants A and $B$

Select one:

a$.A=-11,B=61$

b$.A=-61,B=11$

C$.A=-61,B=-11$

d$.A=61,B=-11$