Using the RK4 method, give the numerical approximation for the IVP: y' = ty; y(0) = e; with a step size of h = 0.5 for the point at t = to Euler's Method (e.g. simply using the ki values to approximate this ODE)?. = 20. How does this compare The exact solution to the IVP above is y(t) = et“/2+1, In a single figure, plot the results of RK4, Euler methods and the exact function (thus, your plot should contain 3 lines). To show the full Y-range, the Y-axis should be plotted using a log-scale, however the X-axis should remain linear. To do this, type "set(gca, 'YScale','log')" on the line below that used to create the plot. Make sure that your figure has a legend that describes what each line corresponds to.
Using the RK4 method, give the numerical approximation for the IVP: y' = ty; y(0) = e; with a step size of h = 0.5 for the point at t = to Euler's Method (e.g. simply using the ki values to approximate this ODE)?. = 20. How does this compare The exact solution to the IVP above is y(t) = et“/2+1, In a single figure, plot the results of RK4, Euler methods and the exact function (thus, your plot should contain 3 lines). To show the full Y-range, the Y-axis should be plotted using a log-scale, however the X-axis should remain linear. To do this, type "set(gca, 'YScale','log')" on the line below that used to create the plot. Make sure that your figure has a legend that describes what each line corresponds to.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Using the RK4 method, give the numerical approximation for the IVP: y'
y(0) = e; with a step size of h
to Euler's Method (e.g. simply using the ki values to approximate this ODE)?.
ty;
20. How does this compare
0.5 for the point at t
The exact solution to the IVP above is y(t) = et“/2+1. In a single figure, plot the
results of RK4, Euler methods and the exact function (thus, your plot should contain
3 lines). To show the full Y-range, the Y-axis should be plotted using a log-scale,
however the X-axis should remain linear. To do this, type "set(gca, 'YScale','log')"
on the line below that used to create the plot. Make sure that your figure has a
legend that describes what each line corresponds to.
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