Consider the following Initial Value Problem (IVP) ay /at = -t sin (y); y(t = 0) =1 * Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) Δt = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1
Solve for y(t=0.5) using
a) Forward Euler method with At = 0.25. (Solve by hand)
Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use
the time step levels given below and plot t vs y in the same plot. Include the plot
with the right format (axis labels, legends, ...) in your solution sheet and include
your Matlab script in the solution as well.
i) At = 0.25
ii) At = 0.125
b) Backward Euler method with At = 0.25 (Solve by hand)
Transcribed Image Text:Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)
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