You will create a function using the last 2 digits cd of your university identification number where the function is y(t) = (10-c)et (10-d) (t+1). 1. Verify that y(t) is a solution to the differential equation y' = (10 - d)t + y with initial y(0) = d - c. 2. Using stepsize h = 1, apply Euler Method, Modified Euler Method and Runge-Kutta Method once to find an approximation on y(1). 3. Calculate the relative error of approximation on y(1) for all of three methods. (You will get zero credit from this part if your answer is absolute error.)
You will create a function using the last 2 digits cd of your university identification number where the function is y(t) = (10-c)et (10-d) (t+1). 1. Verify that y(t) is a solution to the differential equation y' = (10 - d)t + y with initial y(0) = d - c. 2. Using stepsize h = 1, apply Euler Method, Modified Euler Method and Runge-Kutta Method once to find an approximation on y(1). 3. Calculate the relative error of approximation on y(1) for all of three methods. (You will get zero credit from this part if your answer is absolute error.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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c=1 d=9
Transcribed Image Text:You will create a function using the last 2 digits cd of your university identification number where the
function is y(t) = (10-c)et (10d) (t+1).
1. Verify that y(t) is a solution to the differential equation y' = (10 - d)t + y with initial y(0) = d - c.
2. Using stepsize h = 1, apply Euler Method, Modified Euler Method and Runge-Kutta Method once to
find an approximation on y(1).
3. Calculate the relative error of approximation on y(1) for all of three methods. (You will get zero
credit from this part if your answer is absolute error.)
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