一道关于微分方程的英文数学题
Apondinitiallycontains6000000galofwaterandanunknownamountofanundesriablechemical.Watercontaining0.06gofthischemicalpergallonflowsintothepondatarateof500gal/hr.Themixtureflowsoutatthesamerate,sotheamountofwaterinthepondremainsconstant.Assumethatthechemicalisuniformlydistributedthroughoutthepond.
Writeadifferentialequationfortheamountofchemicalinthepondatanytime.Letq(t)denotetheamountofchemicalinthepondattimet
Useqasq(t)below
dq/dt=?grams/hour