converting a second degree differential equation into a first order
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Anas Gharsa
el 28 de En. de 2022
Comentada: Star Strider
el 28 de En. de 2022
I am trying to reduce the order of a function but I always get an error message :
syms y(t);
eqn = diff(y,2) + c*y' + k*y == F0sin(w*t) ;
cond1 = y(0) == 4 ;
cond2 diff(y0) == 0 ;
V = odeToVectorField(eqn);
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Star Strider
el 28 de En. de 2022
Declare all the variables, and for good measure, return the second output from odeToVectorField because it tells you wnat the function is doing internally, and the substitutions it made.
syms c k F0 w y(t)
D1y = diff(y);
D2y = diff(D1y);
eqn = D2y + c*D1y + k*y == F0*sin(w*t) ;
% cond1 = y(0) == 4 ;
% cond2 = diff(y0) == 0 ;
[V,Subs] = odeToVectorField(eqn)
Now, convert this into an anonymous function that the nmumerical ordinary differntial equation solvers can work with, and integrate it to get a numerical result.
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