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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