# Past Exam for MATH 211 - ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA at Rice (Rice)

## Exam Information

 Material Type: Final Professor: Staff Class: MATH 211 - ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA Subject: Mathematics University: Rice University Term: Fall 2000 Keywords: CircumstancesPopulationsThe IndependentCalculatorsAvailabilityQualitativeSpring ConstantValue ProblemFundamental SetSubstitution    ## Sample Document Text

Math 211 Final Exam December 3, 2000 Instructions: This is a closed book, three hour exam. Calculators are not allowed. Please give reasons for all of your answers. There is a short table of integrals on the last page which might be of help to you. Print your name: Print your section number: Write out and sign the pledge: 1. (8 points) Find the solution to the initial value problem dy dt + y tan t = cos t � sin t with y(0) = 0. What is the interval of existence of the solution? 2. (8 points) Solve the initial value problem x primeprime + 6x prime + 13x = 0 with x(0) = 2,x prime (0) =?2. 3. (8 points) Consider the equation y prime = (y 2 + 2y)(1 + y) 2 . a) Find and analyze all equilibrium points. b) Provide a sketch showing the qualitative behavior of all solutions. 4. (10 points) Consider the system x prime = x(1 ? y) y prime = x 2 ? y. a) Find and analyze the equilibrium points. b) Sketch the nullclines. On your sketch indicate the direction of the vector field alon...

## Related Documents Provided That Exam Proportionality Exam Eigenvector Exam The Economic Problem Exam Matrix Equation Exam Calculators Notes Final Exam Time Exam Calculators Exam Calculators Exam Calculators Exam Calculators Exam Unauthorized Exam Calculators Exam Problem Fix Yo Exam Instructions Exam Form Designation Exam