ODE's

[parisse]

For linear ODE with constant coeffs, the answer is expressed with constants that are the value of y and derivatives at x=0.
Y:=desolve(y'' + y' - 6*y = 10*e^2*x - 18*e^3*x - 6*x - 11; normal(subst(Y,x=0));normal(subst(diff(Y,x),x=0));

For x^2*y'-3*x*y-y^2=0, it is an homogeneous equation, and you get the solution as parametric curves. Observe that the nspire misses the solution y=0.