Question 1071996
Yes, that is the correct setup.
{{{dy/dt+(3/200)y=84}}}
So the general solution {{{dy/dt+ky=0}}} is,
{{{y=ae^(bt)}}}
and the particular solution {{{dy/dt+cy=d}}} is,
{{{y=d/c}}}
Work those through to get the answer using the initial condition.