Jaypee Institute of Information Technology (JIIT) 2008 B.E Test 3 : Biomathematics - Question Paper

JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY

WAKNAGHAT

TEST-III

B.TECH (BLBT) VII SEMESTER 2008-09

COURSE CODE: 07B71MA40S    MAXM. TIME: 1 HOUR 30 MINS.

COURSE NAME : BIOMATHEMATICS

COURSE CREDIT : 3    MAXM. MARKS: 30

NOTE: There are five questions in all. Attempt all questions. All questions carry equal marks.

1.    Find a particular integral of the differential equation

y + 4y = 32fc0s/-8sin2/.

2.    After administration of a dose, the concentration of a drug decreases by 50% in 30 hours. How long does it take to fall to 1% of its initial value?

3.    Find the general solution of: x + 2x + 3y = 0. y + 3x + 2y * 2e^J.

4.    Describe the heart beat model. Carry out the phase plane analysis for the heart beat equations.