Test 3 _practice_

Test 3 _practice_ - Math 1B Third Exam Name SID(last first...

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Math 1B Third Exam Name:_________________________ SID:_____________________ (last, first) 1. The direction field for a differential equation is shown. a) Suppose (0) 0 y = . Using Euler’s method with a step-size of 1, what would the approximation for (2) y be? (7 points) b) Would this be an underestimate or an overestimate? Explain your answer. (1 point) c) Based on the picture above, is the differential equation autonomous? Justify your answer. (2 points) 2. a) Give an example of a first order differential equation that is separable but not linear. Solve your equation. b) Give an example of first order differential equation that is linear, but not separable. Solve your equation. 3. You are thinking of buying a house and deciding whether you can afford to borrow $500,000. You can borrow the money at a 6% annual interest rate compounded continuously. You have made an arrangement with your bank so that you can pay your mortgage continuously as well. What would your monthly payment be if you wanted the loan paid off in 30 years?
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4. Solve the initial value problems.
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This note was uploaded on 04/03/2008 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at Berkeley.

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Test 3 _practice_ - Math 1B Third Exam Name SID(last first...

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