answer different on MATLAB than the expected answer

i have used this code to solve ODE

syms y(x)
Q_22= (diff(y,x,3))- (diff(y,x,2))== 6;
disp('The solution is:')

The solution is:

ySol(x) = simplify(dsolve(Q_22))

ySol(x) = 

But the expected answer i needed to be is as following :

these are the steps of solving it :

Answer 1

[Paul]

Mathematically, the answers are the same because the Ci are abitrary constants (absent any othe conditions on the solution). So the mapping from the Matlab solution to your solution is:

C1 + C2 - 6 -> C1

C1 - 6 -> C2

C3 -> C3

Or did you realize this and you just want to manipulate the Matlab solution to be in the same form as yours?

[Hamzah Al-Hamidi]

I want to manipulate it

[Paul]

If you know the answer you're going for, at least after seeing the form of ySol, you can manipulate manually

syms y(x)
Q_22= (diff(y,x,3))- (diff(y,x,2))== 6;
ySol(x) = simplify(dsolve(Q_22))

ySol(x) = 

syms C1 C2 C3 K1 K2 K3
ySol = subs(ySol,[C1+C2-6,C1-6,C3],[K1 K2 K3])

ySol(x) = 

ySol = subs(ySol,[K1 K2 K3],[C1 C2 C3])

ySol(x) = 

Automating this process would be more work, assuming it's even feasible.