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differential Equations with ode45

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Alex Pak
Alex Pak on 2 Nov 2014
Closed: MATLAB Answer Bot on 20 Aug 2021
Hello, please help me, I'm trying to solve differential Equations, but I can't understand how I can implement m1 ( m1 is derivative m)
Code
% function OdeCaller2
N=3;
J=12800;
q=800;
S=50;
l=5;
ks=-0.005;
ko=-0.01;
ka=-0.01;
ky=-0.01;
a=3;
kz=-0.08671;
[T,Y]=ode45(@odefun10, [0 4], [0 0 0 0]);
plot(T,Y)
grid on
function dy=odefun10(t,y)
omegaz=y(1);
omegay=y(2);
gamma=y(3);
V=y(4);
m=2*(N-V)+tand(V)*(omegay*cosd(gamma)-omegaz*sind(gamma));
m1=????????????; *How can I implement this?*
dy=zeros(4,1);
delta=(J/(q*S*l*ks))*(3*(m-omegaz)+m1)-(ko+ka*a+kz*omega)/ks;
dy(1)=((q*S*l)/J)*(ko+ko*a+ks*delta+kz*omegaz);
dy(2)=((q*S*l)/J)*(ko+ky*a+ky*delta+ky*omegay);
dy(3)=omegaz*cosd(gamma)+omegay*sind(gamma);
dy(4)=emegay-tand(V)*(omegay*cosd(gamma)-omegaz*sind(gamma));
end
end
  1 Comment
Zoltán Csáti
Zoltán Csáti on 2 Nov 2014
Since the second equation contains delta (and within it, m1) which is in third and fourth equations, the system is implicit. Try to put it into explicit form, or use the ode15i solver.

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