Question

Please write and include a matlab code for the following:

Given the following differential equation
10?̈+ 20?̇ + 250? = ?(?)
a. Plot response to f(t) = 200sin(4t)
b. Plot response to a step f(t) = 200 that starts at t = 0 s and stops at t = 2s; note that the
response goes past the 2 seconds of input.

Given the following differential equation 10x + 20% + 250x = f(t) a. Plot response to f(t) = 200sin(46) b. Plot response to a step f(t) = 200 that starts at 1 = 0 s and stops at t = 2s; note that the response goes past the 2 seconds of input.

Part a.) I need matlab code to generate the plot for 10x''+20x'+250x=200sin(4t)

Part b.) I need matlab code to plot the step function response when 10x''+20x'+250x=200 over the interval 0< t <2 seconds

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc%clears screen
clear all%clears history
close all%closes all files
f=@(t,x) [x(2);20*sin(4*t)-25*x(1)-2*x(2)];
[T,X]=ode45(f,[0,2],[1,1])
plot(T,X(:,1));
xlabel('Time');
ylabel('X(t)');
title('Plot of x(t)');

- 5 x Pradeep Figure 1 - 0 X 56 Search Documentation File View Insert Edit 9 Tools 9 Desktop Window VA Help OE - O Plot of x(t) A MATLAB R2018 HOME PLOTS APPS EDITOR D E L Find Files Insert B fx 3 Compare - - Go To - Comment % 9 New Open Save Print Find Indent 5 FILE NAVIGATE EDIT a 6: Users ► PRADEEP KALRA Documents Current Folder Name - codegen convertFinal directory1 example first googleLinks mathlab mynewdir x eulerSystem.m xahk.m xnse_filt. mx + co ou WNE X(t) -0.5 New folder questions old simple_gui2 1.png 2.png 3.png Details -1.5 O 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 2 Workspace Com 1 Time Name New U TVIRTERDI OCCTCvuTCE TOT CETY POTECA. fx >> Value @(t,x)[x(2):20* sin(4*t... 61x1 double 61x2 double X script Ln 9 Col 23 A4 AM ENG 1:08 PM IN 02/11/20 Type here to search 11/20

Note: Brother According to Chegg's policy we are only allowed to answer first part if there are many. So, I request you to post other part as separate posts

Kindly revert for any queries

Thanks.

Answer 2

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc%clears screen
clear all%clears history
close all%closes all files
f=@(t,x) [x(2);20*sin(4*t)-25*x(1)-2*x(2)];
[T,X]=ode45(f,[0,2],[1,1])
plot(T,X(:,1));
xlabel('Time');
ylabel('X(t)');
title('Plot of x(t)');

- 5 x Pradeep Figure 1 - 0 X 56 Search Documentation File View Insert Edit 9 Tools 9 Desktop Window VA Help OE - O Plot of x(t) A MATLAB R2018 HOME PLOTS APPS EDITOR D E L Find Files Insert B fx 3 Compare - - Go To - Comment % 9 New Open Save Print Find Indent 5 FILE NAVIGATE EDIT a 6: Users ► PRADEEP KALRA Documents Current Folder Name - codegen convertFinal directory1 example first googleLinks mathlab mynewdir x eulerSystem.m xahk.m xnse_filt. mx + co ou WNE X(t) -0.5 New folder questions old simple_gui2 1.png 2.png 3.png Details -1.5 O 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 2 Workspace Com 1 Time Name New U TVIRTERDI OCCTCvuTCE TOT CETY POTECA. fx >> Value @(t,x)[x(2):20* sin(4*t... 61x1 double 61x2 double X script Ln 9 Col 23 A4 AM ENG 1:08 PM IN 02/11/20 Type here to search 11/20

Note: Brother According to Chegg's policy we are only allowed to answer first part if there are many. So, I request you to post other part as separate posts

Kindly revert for any queries

Thanks.