MATLAB: I would like to solve a 2×2 system of equations. Can anyone help me please

system of equations

Hello, i have 2 equations with two unknowns. How matlab can solve the system?

The equations are:

1) (t-0.1)sqrt(1-(121-(t-0.1)^2*400*cos(theta0))=(8.66*t-10)/(20cos(theta0))

2) cos(theta0)=sqrt(1-(8.66*t-4.9*t^2+4.9*(t-0.1)^2)/((t-0.1)^2*400))

The unknowns are theta0 and t.

I am looking forward for your information.

Thank you in advance for any help you can provide.

Best Answer

Did you try MATLAB's "solve":

https://de.mathworks.com/help/symbolic/solve.html

Best wishes

Torsten.

Related Solutions

MATLAB: How to solve this equation in matlab

syms theta a b c
eqn = a*sin(theta)+b*cos(theta) == c;
soltheta = solve(eqn,theta)

Best wishes

Torsten.

MATLAB: How to solve a system of second order nonlinear differential equations

If you have the symbolic toolbox, It will make things easier as shown in following code

syms x(t) theta(t)
d1x = diff(x,1);
d2x = diff(x,2);
d1theta = diff(theta,1);
d2theta = diff(theta,2);
eq1 = 1.01*d2x + 0.025*d2theta*cos(theta) - 0.025*d1theta^2*sin(theta) + 200*x^3 + 20*d1x == 0;
eq2 = d2x*cos(theta) + 2.5*d2theta + 9.8 * sin(theta) == 0;
[F, S] = odeToVectorField(eq1, eq2);
odeFun = matlabFunction(F, 'Vars', {t, 'Y'});
[t, y] = ode45(odeFun, [0 10], [1; 0; 0.1; 0]);
plot(t, y);
legend({'$\theta$', '$\dot{\theta}$', '$x$', '$\dot{x}$'}, ...
    'FontSize', 16, ...
    'Interpreter', 'latex', ...
    'Location', 'best');

Best Answer

Related Solutions

MATLAB: How to solve this equation in matlab

MATLAB: How to solve a system of second order nonlinear differential equations

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