【问一道数学题,涉及到微分方程atankcontains4lbsofsaltdissolvedin100gallonsofwater.Supposethatbrinecontaining2lbsofsaltpergallonofwaterisallowedtoenterthetankatarateof5gallons/minute,andthatthemixedsolu】
<p>问题：【问一道数学题,涉及到微分方程atankcontains4lbsofsaltdissolvedin100gallonsofwater.Supposethatbrinecontaining2lbsofsaltpergallonofwaterisallowedtoenterthetankatarateof5gallons/minute,andthatthemixedsolu】<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">刘非凡的回答：<div class="content-b">网友采纳 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
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