Math 3301Homework Set 210 PointsFor problems 1 & 2 find the solution to the given IVP and determine the interval of validity for the solution. Any approximate answers must be to at least the 4thdecimal place and you may need computational aids in finding some of the intervals of validity. Separable Differential Equations1.( )250183xyyy−′ ==+2. ( )30878yxx′==+3.Solve the following differential equation and determine the minimum value(s) of the solution. Any approximate answers must be to at least the 4thdecimal place. You may assume that 0y>. ( )( )2103xy yx xy−′=−=eFor problems 4 & 5 you MUST set up and solve the appropriate IVP(s) in order to receive any credit for the problem. Any decimals must be to at least the 4thdecimal place. Modeling, Part I4.A 1000 gallon tank contains 800 gallons of water with 45 ounces of dye dissolved in it. Water with a dye concentration of ( )10010 2tct−=−eounces/gal is flowing into the tank at a rate of 6 gallons/min and a well mixed solution flows out at a rate of 6 gallons/min. If left to forever, what would be the
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This note was uploaded on 03/13/2009 for the course MATH 2171 taught by Professor Deng during the Spring '08 term at UNC Charlotte.