Maxima Function
odelin (eqn, y, x)
odelin
solves linear homogeneous ODEs of first and
second order with
independent variable x and dependent variable y.
It returns a fundamental solution set of the ODE.
For second order ODEs, odelin
uses a method, due to Bronstein
and Lafaille, that searches for solutions in terms of given
special functions.
(%i1) load('contrib_ode); (%i2) odelin(x*(x+1)*'diff(y,x,2)+(x+5)*'diff(y,x,1)+(-4)*y,y,x); ...trying factor method ...solving 7 equations in 4 variables ...trying the Bessel solver ...solving 1 equations in 2 variables ...trying the F01 solver ...solving 1 equations in 3 variables ...trying the spherodial wave solver ...solving 1 equations in 4 variables ...trying the square root Bessel solver ...solving 1 equations in 2 variables ...trying the 2F1 solver ...solving 9 equations in 5 variables gauss_a(- 6, - 2, - 3, - x) gauss_b(- 6, - 2, - 3, - x) (%o2) {---------------------------, ---------------------------} 4 4 x x