灵鹊做题网一道关于微分方程的英文数学题
来源：学生作业帮 编辑：灵鹊做题网作业帮 分类：英语作业 时间：2024/05/08 11:41:57
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
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
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
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