Question

MATALB,

please provide matlab code script. thank you.

Problem For the equation 2x” +3x' +5x=2t, write the following equation in the form X'=Ax+Bu where X1=X X2=X'

Answer 1

Matlab code:

% Defining the differential equation

syms x(t)

difeqn = 2 * diff(x , 2) + 3 * diff(x , 1) + 5 * x == 2 * t;

% Converting to single order differential equation

singleorder = odeToVectorField(difeqn);

% Displaying the result

disp('dx1 / dt = ')

disp(singleorder(1));

disp('dx2 / dt = ')

disp(singleorder(2));

1 2 3 4 5 % Defining the differential equation syms x(t) difeqn = 2 * diff(x, 2) + 3 * diff(x, 1) + 5 + x == 2 *t; - % Converting to single order differential equation singleorder = odeToVectorField(difeqn); 7 8 9 % Displaying the result disp('dx1 / dt = ') disp(singleorder(1)); 10 11 12 13 disp('dx2 / dt = ') disp(singleorder(2)); 14

OUTPUT:

dx1 / dt Y[2] dx2 / dt = t - (5*Y[1])/2 - (3*Y[2])/2