In Matlap, Please do Matlap code
program:
syms y(t)
ss = odeToVectorField(diff(y,2)+4*y==0);
f = matlabFunction(ss,'vars',{'t','Y'});
[x, yv] = ode45(f,[0 20],[1 1]);
y = yv(:,1)
ymax = max(y(11:end))
[peaks,locs] = findpeaks(y);
yperiod = x(locs(4))-x(locs(3))
outputs:
In Matlap, Please do Matlap code Consider the second order differential equation y” + 4y =...
6. The differential equation: y 4y 2x y(0) 1/16 has the exact solution given by the following equation: v = (1 /2)s, + (14)s +1.16 Calculate y (2.0) using a step size h-0.5 using the following methods: (a) Euler (b) Euler P-c (c)4h order Runge-Kutta (d) Compare the errors for each method. (e) Solve using Matlab's ode45.m function. Include your code and a print of the solution.
Solve the second order homogeneous differential equation y" + 4y' + 4y = 0. y(t) = Cicos (-2t)+czsin(-2t) y(t) = C1e-2'cost + cze-2'sint y(t)=Cie -22+ Cze-24 y(t) = C1e-2+cze -21
1. Rewrite the 3rd order differential equation, y" - 2y" 3y' 4y 0 as a vector differential equation of the form v' = Av where A E Ms(R) is a matrix.
Please provide the matlab code solution for this problem. Exercise 2 Consider the differential equation for the Van der Pol oscillator (use ode45) which has a nonlinear damping term a (y -1) y 1. For E 0.25, solve the equation over the interval 0,50 for initial conditions y (0) 0.1 and y' (0) -1. TASK: Save y as a column vector in the file A04.dat TASK: Save y' as a column vector in the file A05.dat 2. For a 10,...
Find the general solution of the second order ordinary differential equation: y"4y 3sin2t
Consider the differential equation e24 y" – 4y +4y= t> 0. t2 (a) Find T1, T2, roots of the characteristic polynomial of the equation above. 11,12 M (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. yı(t) M y2(t) = M (C) Find the Wronskian of the fundamental solutions you found in part (b). W(t) M (d) Use the fundamental solutions you found in (b) to find functions ui and Usuch...
Differential Equations Consider the homogeneous differential equation: y"-4y' +13y = 0. What is a real general solution of the differential equation? y=cje:5X+c2eX y=e2X{ccos 3x+c2sin 3x) y=e=24c1cos 3x+Czsin 3x) y=c1e5x+c2e
Find the general solution of the given second-order differential equation. y'' + 10y' + 25y = 0 Solve the given differential equation by undetermined coefficients. y'' + 4y = 2 sin 2x Solve the given differential equation by undetermined coefficients. y'' − y' = −10
Digital Signal Processing Homework #4 1. Find the solution of the differential equation: y+4y+3y = x+2x for x(t)-e'u(t) and initial conditions y(0) 0, (0) 1 What is the transfer function of a LTI system that is describable by the equation above? 2. Find the transfer functions of the LTI systems A and B in the configuration shown below when you are given that v v-z and y-x
Solve the differential equation y' 3t2 4y - with the initial condition y(0)= - 1. y =