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

Exam Information

Material Type:Final
University:University of Maryland
Term:Spring 2003
  • Final Exam Time
  • Qualitative
  • Complete English Sentences
  • Value Problem
  • Calculators
  • Nonlinear System
  • Initial Value
  • Homogeneous
  • Particular Solution
  • Eigenvector
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Sample Document Text

MATH 246 FINAL EXAM TIME: 1:30-3:30 PM, MAY 16, 2003 Answer each question on one answer sheet, using the back if necessary (indicating on the front that your work continues on the back). Write your name, your instructor's name, and the question number on each answer sheet. Carefully show all the steps in your solutions, explaining your arguments in complete English sentences. Cross out any material that you do not wish graded. Where appropriate, circle or box your final answer. Calculators are NOT allowed. Good luck! (1) (20 pts) Solve the initial value problem (IVP) { dy 2x dx + 3y = 6 y(I)=3. (2) (20 pts) Let y(t) be the solution of the initial value problem (IVP) { y' = cos(ty) + 2 y(O) = _3; . Find the approximation to the value of y(7r) obtained by taking two (equal) steps of the Euler method. (3) (20 pts) A tank, which has a capacity to hold 100 gallons of water, contains 10 gallons of pure water initially. A water - salt mixture consisting of 3 lb salt per gallon o...

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