1)
clc
clear all
close all
format short
f=@(t,y) [y(2);cos(3*t)-9*y(1)];
[T,Y]=ode45(f,[0,10],[0,0]);
plot(T,Y(:,1));
xlabel('t');
ylabel('y(t)');
title('Plot of y(t)');
4. MATLAB can solve second order equations numerically, but it needs to convert it to a...
QUESTION 5 please. 4. MATLAB can solve second order equations numerically, but it needs to convert it to a sys- tem first. We haven't covered systems yet, but we can make use of them (entirely in MAT- LAB) to solve this problem. The help page https://www.mathworks.com/help/symbolic/ solve-differential-equation-numerically-1.html shows how to do this. Follow those steps to get the solution to day +9y = cos(3) dt2 y(0) = 0 v(0) = 0 Plot this and your solution from the previous part...
QUESTION 6 please help MATLAB to and you 5. MATLAB can also solve second order equations symbolically using the Symbolic packages. The help page https://www.mathworks.com/help/symbolic/solve-a-single-differential-equation. html#f1-11214 shows examples of how this works. Code this up for the same equation and see if you get the same answer. If you don't (and you probably won't), try simplifying the answer after you get it to see if it matches then. Note: You'll need to define the symbolic function y(t) here in order...
USING MATLAB Please post code 1. Solve the 2nd order differential equation ?+89 +15y-sin(t), y(0)-1,?(0)-2 symbolically and numerically, and plot both results together over the time interval 0,10 sec. Provide appropriate labels on both axes, a title, and a legend that denotes each solution. Check your symbolic answer by using the Matlab DIFF function to compute the appropriate derivatives and then substituting them into the differential equation.
help with matlab I dt2 7. Use the second order solver method (the symbolic one) to solve the two following ODES dy dy (a) + + 16y = 0 dt day dy (b) + 16 = 0 dt2 dt both with initial conditions y(0) = 10, y'(0) = 0 and plot their solutions. These ODEs can model the position of a pendulum swinging through a fluid, where one equation represents the pendulum being in molasses, and the other is in...
Differential Equations with MATLAB/Plotting first order differential equations in Matlab/ Differential Equations MATLAB/IVP Matlab/IVP I'd really appreciate if I can get some help plotting these 3 first order differential equations as well as their comments. PLEASE! ANYTHING HELPS, I am very stuck :( EZplot and ODE 45 were mentioned in class and the instructions in class were not clear at all. Given the first order differential equation with initial condition. dy/dt = y t, y(0)=-1 Complete problems 1-3 in one...
Need help using Matlab to solve differential equations, will rate! Thank You! a) The code used to solve each problem b) The output form c) Use EZPLOT (where possible) to graph the result Use Matlab symbolic capabilities to solve the following Differential Equations: yy +36x = 0 3. ytky = e2kakis a constant y" +(x +1)y = ex'y' ;y(0) = 0.5 4 4y-20y'+25y = 0 xy-7x/+16y=0 xy-2xy'+2y=x' cos(x) yy =292 y-4y'+4y = (x + 1)e 2x
An autonomous system of two first order differential equations can be written as: A third order explicit Runge-Kutta scheme for an autonomous system of two first order equations is Consider the following second order differential equation, Use the Runge-Kutta scheme to find an approximate solutions of the second order differential equation, at t = 1.2, if the step size h = 0.1. Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answer as a...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
Question-2 The diff () command in MATLAB is only used for solving linear differentiational equations. Select one: True False Question-3 The diff () command in MATLAB can solve only up to third order differentiational equation. Select one: True False Question-4 The symbolic variable must be defined in the MATLAB to use diff (), laplace and ilaplace commands. Select one: True False Question-5 The “s” is the pre-defined symbolic variable MATLAB variable for solving inverse Laplace in MATLAB. Select one: True...
I need the matlab codes for following question (1) (a). Solve the following second-order differential equations by a pair of first-order equations, xyʹʹ − yʹ − 8x3y3 = 0; with initial conditions y = 0.5 and yʹ = −0.5 at x = 1. (b). Solve the problem in part (a) above using MATLAB built-in functions ode23 and ode45, within the range of 1 to 4, and compare with the exact solution of y = 1/(1 + x2) [Hint: ode23 à...