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122quiz8 - year and you pay off the mortgage continuously...

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Due November 17, 2011 Math 122 - Quiz 8 Name__________________ Find the particular solutions of the differential equation. 1 . ! = " y y 125 5 and y ( ) 0 0 = 2. A flu epidemic on a college campus of 4000 students begins with 12 cases, and after 1 week has grown to 100 cases. Find a formula for the size of the epidemic after t weeks. Use the answer to estimate the size of the epidemic after 2 weeks.
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Due November 17, 2011 Math 122 - Quiz 8 page 2 of 2 Solve the first order differential equation. 3. ! " = " y xy x 2 4 4. You have a $250,000 home mortgage which accrues interest continuously at the rate of 6% per
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Unformatted text preview: year, and you pay off the mortgage continuously at the rate of $18,000 per year. Therefore, the amount y t ( ) owed on the mortgage after t years satisfies: ! = " y y 0 06 18 000 . , and y ( ) , 250 000 = . a. Solve this differential equation and initial value. b. Determine, to the nearest year, when the mortgage is paid off. c. [Optional] When is half the mortgage is paid off, i.e., for what t is y t ( ) $ , = 125 000?...
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