问题标题:
一道关于微分方程的英文数学题Apondinitiallycontains6000000galofwaterandanunknownamountofanundesriablechemical.Watercontaining0.06gofthischemicalpergallonflowsintothepondatarateof500gal/hr.Themixtureflow
问题描述:
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
田生喜回答:
呀,这里还是被人遗忘的微积分问题啊,帮你搞定吧
Dq/dt问的是变化率
那么进是500×0.06
出是q(t)/6000000×500
最终dq/dt=30-5/6×10*-4q
就是这样
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