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2. Consider the linear differential equation 3 sin 2t y' + y = √2t+1 (a) Use MATLAB to draw a direction field for this differential equation in the range 0 y5 (with steps of size 0.2 for both variables). (b) Find the solution to this differential equation that satisfies the initial condition y(0) should be expressed in terms of a definite integral of the form L* p(s) ds and other explicit functions, where (s) is derived from the differential equation. 10 and -3 = : 1. Your answer (c) Use the MATLAB function integral to compute y(t) for t = 0, 0.1, 0.2, 0.3, . . ., 9.9, 10, and use the result to plot the graph of y(t) in the same figure as the direction field from (a). Suggestion: Use a for-loop to compute the 101 values you need. I.e., something like: matlab > Copy * Edit >> for j = 1:101 y(j) = (MATLAB expression involving 'integral'); end;

2. Consider the linear differential equation 3 sin 2t y' + y = √2t+1 (a) Use MATLAB to draw a direction field for this differential equation in the range 0 y5 (with steps of size 0.2 for both variables). (b) Find the solution to this differential equation that satisfies the initial condition y(0) should be expressed in terms of a definite integral of the form L* p(s) ds and other explicit functions, where (s) is derived from the differential equation. 10 and -3 = : 1. Your answer (c) Use the MATLAB function integral to compute y(t) for t = 0, 0.1, 0.2, 0.3, . . ., 9.9, 10, and use the result to plot the graph of y(t) in the same figure as the direction field from (a). Suggestion: Use a for-loop to compute the 101 values you need. I.e., something like: matlab > Copy * Edit >> for j = 1:101 y(j) = (MATLAB expression involving 'integral'); end;

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please include screenshots of MATLAB command and the output

2. Consider the linear differential equation 3 sin 2t y' + y = √2t+1 (a) Use MATLAB to draw a direction field for this differential equation in the range 0 y5 (with steps of size 0.2 for both variables). (b) Find the solution to this differential equation that satisfies the initial condition y(0) should be expressed in terms of a definite integral of the form L* p(s) ds and other explicit functions, where (s) is derived from the differential equation. 10 and -3 = : 1. Your answer (c) Use the MATLAB function integral to compute y(t) for t = 0, 0.1, 0.2, 0.3, . . ., 9.9, 10, and use the result to plot the graph of y(t) in the same figure as the direction field from (a). Suggestion: Use a for-loop to compute the 101 values you need. I.e., something like: matlab > Copy * Edit >> for j = 1:101 y(j) = (MATLAB expression involving 'integral'); end;
Transcribed Image Text:2. Consider the linear differential equation 3 sin 2t y' + y = √2t+1 (a) Use MATLAB to draw a direction field for this differential equation in the range 0 y5 (with steps of size 0.2 for both variables). (b) Find the solution to this differential equation that satisfies the initial condition y(0) should be expressed in terms of a definite integral of the form L* p(s) ds and other explicit functions, where (s) is derived from the differential equation. 10 and -3 = : 1. Your answer (c) Use the MATLAB function integral to compute y(t) for t = 0, 0.1, 0.2, 0.3, . . ., 9.9, 10, and use the result to plot the graph of y(t) in the same figure as the direction field from (a). Suggestion: Use a for-loop to compute the 101 values you need. I.e., something like: matlab > Copy * Edit >> for j = 1:101 y(j) = (MATLAB expression involving 'integral'); end;
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