Rational solutions of a first order homogeneous linear differential system
This functionality does not run in MATLAB.
ode::ratSys(M, x) computes a fundamental set of rational solutions of the first order homogeneous linear differential system Y'=MY. This method uses a cyclic vector and therefore is not optimal.
We compute the rational solutions of the following differential system:
A := matrix([ [2*(x+x^2-9)/x/(x-2),2*(x^2-6)/x/(x-2)], [-3*(2*x+x^2-12)/x/(x-2),-(2*x+3*x^2-24)/x/(x-2)] ])
v := ode::ratSys(A, x)
And we can check the result:
diff(v, x) = normal(A*v)
A square matrix of type Dom::Matrix with coefficients in the field ℚ(x) of rational functions over the rationals.
The independent function.