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)

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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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