EDE301/201306 - Assignment 4 Guidelines (20%)

Use the Improved Euler's method (step size h = 0.025) to obtain a numerical solution of the following differential equation. Work throughout to four decimal places and COMPARE it with Euler’s method (step size h = 0.01) and the exact solution by plotting the graph. All solution and calculation must be done in MS Excel. Justify how the Improved Euler's method can be better than the Euler's method

y'=1-x+4y 

Given y(0)=1 

Find the value of y when x=0.1

Due date: hard copy by 31 July 2013
Kindly send a soft copy to my email lorita.angeline@cosmopoint.com.my

P/S: You may need to check what is the exact solution and how to find it. Do some digging from your previous notes. You have learned this before :)

For those with the notes, you may refer to chapter 2, page 2-10. 

All The Best ~