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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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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c=2 d=1

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.)
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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