# Question:why dsolve with Lie option gives ones less solution in Maple 2024?

## Question:why dsolve with Lie option gives ones less solution in Maple 2024?

The ode  diff(y(x), x)^3 = y(x)*sin(x) should have 3 solutions since it is cubic in diff(y(x),x) and the each of the 3 generated ode's has one solution.

```ode:=diff(y(x), x)^3 = y(x)*sin(x);
sol:=PDEtools:-Solve(ode,diff(y(x),x));
Vector(map(X->dsolve(X,'explicit'),[sol]))```

But In Maple 2024, using Lie option gives 2 solutions only, while default dsolve gives 3 solutions.

In Maple 2023 using Lie option gives 6 solutions for some reason.

So something changed in Lie solver for dsolve.

Btw, in all the above I am discarding the extra y=0 solution as this is trivial solution and should not have been returned any way, but this is not a big issue

Basically, Maple 2024 Lie solver gives now 2 non trivial solutions when there should be 3 non trivial solutions.

Any one could give an idea why this happens? Should not both solvers return same number of non trivial solutions?

 > interface(version);

 > Physics:-Version();

 > ode:=diff(y(x), x)^3 = y(x)*sin(x)

 > Vector([dsolve(ode)])

 > Vector([dsolve(ode,useInt,'explicit')])

 > Vector([dsolve(ode,Lie)])

 >

This below is in Maple 2023 showing difference in Lie solutions

 > interface(version);

 > ode:=diff(y(x), x)^3 = y(x)*sin(x)

 > Vector([dsolve(ode)]);

 > Vector([dsolve(ode,Lie)])

 >