Course Code : CS-71

Assignment Number : BCA(5)-71/Project/05

Maximum Marks: 15

Last Date of Submission: 30^th October, 2005

This is a Project Assignment. There are Three questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations.

Question 1: Find the derivative of the function f(x) = 3x² +5x-7
at x=1, using any numerical differentiation method. (3 marks)

Question 2: Evaluate the integral
Integral 0 to 5 e^-x2 dx (i.e e raised to the power of minus x square)

Question 3: Solve the following differential equation:

Find solution in the range of 2 > x > 0.

using
(i) second order Runge Kutta Method
(ii) Fourth Order Runge-Kutta Method
(iii) A predictor - corrector method. (6 marks)