Suppose that you are doing an experiment as part of your Capstone Design Project. A glass vessel originally contains 100 mL of fresh water. Then water containing 1 g/mL of NaCl is poured into the vessel at a rate of 2 mL/min, and the mixture is allowed to leave at the same rate. After 10 minutes the process is stopped, and fresh water is poured into the vessel at a rate of 2 mL/min, with the mixture again leaving at the same rate. Find the amount of NaCl in the vessel at the end of an additional 10 min.

If V=R\power{3}, and W\index{1} is the xy plane and let W\index{2} is yz-plane:     W\index{1}={(x,y,0):x,y∈R}     W\index{2}={(0,y,z):y,z∈R} then V is not the direct sum of W\index{1} and W\index{2}.

Determine whether the differential equation (5x² - 2xy +7) dx + (5y² − x² + 5) dy - is exact. If it is exact, find the solution. The differential equation Choose one ▼ Choose one Choose one Choose one = 0 exact because

Differential Equations: Find the general solution