一道关于微分方程的英文数学题A pond initially contains 6000000 gal of water and an unknown amount of an undesriable chemical.Water containing 0.06 g of this chemical per gallon flows into the pond at a rate of 500 gal/hr.The mixture flow
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![一道关于微分方程的英文数学题A pond initially contains 6000000 gal of water and an unknown amount of an undesriable chemical.Water containing 0.06 g of this chemical per gallon flows into the pond at a rate of 500 gal/hr.The mixture flow](/uploads/image/z/5540018-50-8.jpg?t=%E4%B8%80%E9%81%93%E5%85%B3%E4%BA%8E%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E7%9A%84%E8%8B%B1%E6%96%87%E6%95%B0%E5%AD%A6%E9%A2%98A+pond+initially+contains+6000000+gal+of+water+and+an+unknown+amount+of+an+undesriable+chemical.Water+containing+0.06+g+of+this+chemical+per+gallon+flows+into+the+pond+at+a+rate+of+500+gal%2Fhr.The+mixture+flow)
一道关于微分方程的英文数学题A pond initially contains 6000000 gal of water and an unknown amount of an undesriable chemical.Water containing 0.06 g of this chemical per gallon flows into the pond at a rate of 500 gal/hr.The mixture flow
一道关于微分方程的英文数学题
A pond initially contains 6000000 gal of water and an unknown amount of an undesriable chemical.Water containing 0.06 g of this chemical per gallon flows into the pond at a rate of 500 gal/hr.The mixture flows out at the same rate,so the amount of water in the pond remains constant.Assume that the chemical is uniformly distributed throughout the pond.
Write a differential equation for the amount of chemical in the pond at any time.Let q(t) denote the amount of chemical in the pond at time t
Use q as q(t) below
dq/dt=?grams/hour
一道关于微分方程的英文数学题A pond initially contains 6000000 gal of water and an unknown amount of an undesriable chemical.Water containing 0.06 g of this chemical per gallon flows into the pond at a rate of 500 gal/hr.The mixture flow
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