问一道数学题,涉及到微分方程a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solu

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问一道数学题,涉及到微分方程a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solu

问一道数学题,涉及到微分方程a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solu
问一道数学题,涉及到微分方程
a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solution is drained from the tank at the same rate.Use the differential equation to find the amount of salt after 10 minutes.
大致翻译下:
一个水缸有盐水,此盐水由4磅的盐溶解在100加仑水里.
假设把 [2磅盐/1加仑 的盐水] 往这个水缸里灌入,速度是5加仑/分钟,同样的,灌入的同时,此水缸以相同的速度往外漏水.
请问10分钟后这个水缸里还有多少盐?

问一道数学题,涉及到微分方程a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solu
设每磅盐水的含盐量为f(t),t为时刻
那么含盐量的变化率为f'(t)=(10-5f(t))/100
这个微分方程很好解,把f移到一边都乘以全微分因子e^(t/20),再积分出来,常数C由初值4/100确定

问一道数学题,涉及到微分方程a tank contains 4 lbs of salt dissolved in 100 gallons of water.Suppose that brine containing 2 lbs of salt per gallon of water is allowed to enter the tank at a rate of 5 gallons/minute,and that the mixed solu 问一道微分方程题! 问一道高等数学题,涉及到定积分和极限运算求这个极限 问一道简单的微分方程 高数,问一道微分方程的题 问一道关于微分方程的题目 一道数学题,第三问 问一道数学题 不难 我想问一道数学题? 一道数学题.第二问 问一道大学数学题 问一道数学题 急 问一道微积分数学题 问一道国外数学题! 问一道数学题, 问一道数学题撒. 一道关于圆的数学题,一个圆x2+y2=10,问横竖坐标都是整数的点有几个.请问怎么求,涉及到什么理论? 微分方程一道~