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Past Exam for MATH 246 - DIFF EQN FOR SCI & ENGRS with Jakobson at Maryland (UMD)

Exam Information

Material Type:Final
Professor:Jakobson
Class:MATH 246 - DIFF EQN FOR SCI & ENGRS
Subject:Mathematics
University:University of Maryland
Term:Fall 2006
Keywords:
  • Calculators
  • Qualitative
  • Point of View
  • Nonlinear System
  • Value Problem
  • Initial Value
  • Eigenvectors
  • Eigenvalues
  • Basic Methods
  • Initial Condition
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Sample Document Text

[25] [15] [15] [15] Math 246 Final Exam Fall 2006 M.Jakobson Solve each of the following eight problems on a separate auswer sheet, using the back of the sheet if necessary. Put your name, section number, the name of your recitation instructor, and the number of the problem on each sheet. Carefully show all your steps and explain your arguments. Cross out any material that is not to be graded. You may NOT use calculators, notes or texts. 1. Solve the initial value problem. Find the maximal interval in which the solution is valid. , x y = 2yvx2 _ 16 y(5) = 2 2. (a) A tank contains 10 kg of salt dissolved in 100 liters of water. A solution of salt water containing 1 kg/liter flows into the tank at a rate of 5 liters/minute, and well rnixed solution flows out of the tank a.t the same rate. I. Write down an initial value problem satisfied by the amount of salt Q(t) in the tank at time t. 11. Solve the initial value problem. m. Determine the limiting amount of salt in th...

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