Graph differential equations of parabolic trajectory affected by drag force
1 Ansicht (letzte 30 Tage)
Ältere Kommentare anzeigen
I cannot graph the solution to the following system of differential equations.
mx¨ = −C*x*sqrt(x˙^2 + y˙^2)
my¨ = −C*y* sqrt(x˙^2 + y˙^2)− mg
Initial conditions: x(0) = 0; y(0) = 0; C: 4*10^-7 (constant)
x˙ : first derivative of x position
x¨: second derivative of x position
y˙^2: square of first derivative of y position
I have tried the following code.
syms x(t) y(t)
t0 = 0;
tf = 5400;
dx=diff(x,t);
dy=diff(y,t);
eq1 = diff(x,2) == 2* dy;
eq2 = diff(y,2) == -2* dx;
vars = [x(t); y(t)];
V = odeToVectorField([eq1,eq2])
M = matlabFunction(V,'vars', {'t','Y'});
interval = [t0 tf];
ySol = ode45(M,interval,y0);
tValues = linspace(interval(1),interval(2),1000);
yValues = deval(ySol,tValues,1);
plot(tValues,yValues)
3 Kommentare
Antworten (0)
Siehe auch
Kategorien
Mehr zu Calculus finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!