# Final Exam Review MTH 227 Differential Equations

MTH 227 DIFFERENTIAL EQUATION FINAL EXAM REVIEW – COMPUTER SCIENCE
For the area of concentration on our coming final exam tentatively set on March 13, 2014, please concentrate on the following exercises and problems.  Bring individual calculators.
Similar problems will come out.
1. A microorganism is growing at the rate equal to 10 % of its population each day. If in the beginning there are 205000 microorganisms, how many organisms are present after
a)15 days                             b) 10 days
2. Determine the time that the amount invested will double if an annual interest rate is 6.8 % compounded continuously?
3. Determine the accumulated amount of N12000.00 after 10 years if invested at a nominal interest of 14 % is compounded continuously?
4. A student deposited N500, 000.00 at an annual rate of 8.25 % compounded continuously, how long will it take the account to double in value?
5. A university canteen serves a cup of tea at 92C  to a Computer Science student. After 3 minutes, the tea has cooled to 74. If the canteen temperature is 23 C, how many minutes that the student must wait to cool the tea to 50 C?
6. Solve                y” – 12y’ + 36y = 0.
7. Solve                y” – 8y’ + 16 y = 0.
8. Solve                y” + 4y’ + 4y = 0.
 MTH 227 STUDENTS
LECTURER:  DR. VICTOR E. ODARVE, BSME, MEP-ME,MAED,EDD
PHILIPPINES, SOUTHEAST ASIA