Ok, i think this is the last DE problem i do before i strategically place myself between a wall and a speeding train.(adsbygoogle = window.adsbygoogle || []).push({});

The question is:

A tank initially contains 60 gal. of pure water. Brine containing 1 lb of salt per gallon enters the tank at a rate of 2 gal./min. The well-mixed solution flows out of a hole in the tank at a rate of 3 gal./min. What is the maximum amount of salt the tank will ever hold? (Hint: First determine the amount of salt in the tank at any given time.)

Now i think i'm suppose to start here but im not sure.:

[tex]\begin{array}{l}

r_i = 2 \\

c_i = 1 \\

r_o = 1.5 \\

V = 60 \\

\frac{{dx}}{{dt}} = r_i c_i - \frac{{r_o }}{v}x \\

\end{array}

\][/tex]

ri = rate in

ci = concentration in lb/gal

ro = rate out

V = volume

I'm very lost and starting to looooose my mind over this course! Any help? tips? suggestions? death threats?

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# DE word problem

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