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Prof. Karunashankar Sidhu gave this assignment at Institute of Mathematical Sciences for Basic Mathematics course. It includes: Initial, Boundary, Expression, Population, Interval, Validity, Assignment, Problem
Typology: Exercises
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Maximum Marks: 30
Due Date: April 19 , 2012
Please read the following instructions before attempting to solve this assignment
1. In order to attempt this assignment you should have full command on Lecture # 01 to Lecture # 12 2. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in Lecture # 01 to Lecture # 12. 3. You should concern recommended books for clarify your concepts as handouts are not sufficient. 4. Try to make solution by yourself and protect your work from other students. If we found the solution files of some students are same then we will reward zero marks to all those students. 5. You are supposed to submit your assignment in Word format any other formats like scan images, PDF format etc will not be accepted and we will give zero marks to these assignments. 6. Assignments through e-mail are not acceptable after due date (If there is any problem in submitting your
Question 1: Marks=
What is the difference between Initial and Boundary value problems? Moreover find the solution and interval of validity for the following Initial Value Problem.
6^ dy^ 2 y x y^4 ; y 0 2 dx
Question 2: Marks=
Find the solution and interval of validity for the following Initial Value Problem.
2 x y^2 4 2 3 x^2 y dy ; y 1 8 dx
Question 3: Marks= Using the concept of derivatives solve the following linear model. The population of a certain community is known to increase at a rate proportional to the number of people present at any time. The population grows from 200 people to 300 people in 5 years. How long will it take for the original population to triple? What will be the population in 50 years?