Mathematical modeling using systems of linear first order equations

Two tanks each hold 3 liters of salt water and are connected by two pipes (see figure below) the salt water in each tank is kept well stirred. Pure water flows into tank A at a rate of 5 liters per minute and the salt mixture exits tank B at the same rate. Salt water flows from tank A to tank B at the rate of 9 liters per minute and flows from tank B to tank A at the rate of 4 liters per minute. If tank A initially contains 1 Kg of salt and tank B contains no salt, find the quantities of salt in tank A and tank B respectively, at any time t ≥ 0. See attached file for full problem description with symbols and diagram.

Simulation using Crystal Ball/OptQuest

This problem requires the use "Crystal Ball", the popular commercial spreadsheet add-in. For clarity, it is distributed by Decisioneering, Inc. This problem specifically requires that Excel and "Crystal Ball" (and OptQuest as applicable) be used - and not any other software choices. The link below directs you to a free 7-day trial: http://www.decisioneering.com/downloadform.html Question: Jim Jarrington owns a magazine stand at the Ovalstone business center in Roanoke, Virginia. He buys his magazines wholesale at $0.50 per magazine and sells them for $0.75. Jim has wondered about the optimal number of magazines to order each day. Based on history, he has found that demand (even thou... click for more

Wave eqn (PDE)

Derive the wave eqation in 2 dimension. Give and and sovle any two examples of problem for wave eqn in 2D. Note: Please derive the equn in such a way that any one with basic understanding of PDE would easly grasp the procedure. make comment where needed. Thanks

Language to be used for simulation

Why would one want to use a general purpose programming language rather than a spreadsheet to develop a simulation?

Recurrence relation

See attached file