represent the following differential equation as a function: d2y(t)/dt2 + 1000*dy(t)/dt + 1000000*y(t) = 1000000*x(t) in matlab using the math toolkit in matlab in matlab in matlab

In MATLAB, you can represent the given second-order differential equation as a function using the diff function to compute the derivatives and solve the system of differential equations using dsolve.

Here is how you can represent the differential equation in MATLAB:

main.m
syms y(t) x(t)  % Define symbolic functions

% Define the differential equation
ode = diff(y, t, 2) + 1000*diff(y, t) + 1000000*y == 1000000*x;

% Solve the differential equation
ySol(t) = dsolve(ode);
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This code defines symbolic functions y(t) and x(t), sets up the differential equation, and then uses dsolve to find the solution ySol(t) to the differential equation.