kill(all);

     Using wxMaxima's ode2 command solve:

van=facebook.com/LearningCalculus$

equation:'diff(y,x,2) + 'diff(y,x) -6*y = 0;

ode2(equation,y,x);

y(x):=''(rhs(%));

Y(a,b,x):=''(subst(b, %k2, subst(a,%k1,y(x))));

Y(a,b,x);

diff(Y(a,b,x),x)=0;

solve(%,x);

fifth(%);

subst(sin(%theta), b, subst(cos(%theta),a,%));

Y(a,b,log((3^(1/5)*b^(1/5))/(2^(1/5)*a^(1/5))));

subst(sin(%theta), b, subst(cos(%theta),a,%));