{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

122quiz8

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

This preview shows pages 1–2. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
This is the end of the preview. Sign up to access the rest of the document.

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?...
View Full Document

{[ snackBarMessage ]}