Hay I am trying to calculate and plot the sensitivity of a solution to some master equation using "ParametricNDSolveValue" but unable to plot the derivative of the solution with respect to the parameter.

    y[t_] = {y11[t], y12[t], y13[t], y21[t], y22[t], y23[t], y31[t], 
       y32[t], y33[t]};
    equations = 
      Table[(y'[t] - S1.y[t])[[j]] == 0, {j, 1, 
         9}] /. {Ω -> Γ3, Γ -> 
         1};
    startConditions = {  y11[0] == 1/3, y12[0] == 0, y13[0] == 0, 
       y21[0] == 0, y22[0] == 1/3, y23[0] == 0, y31[0] == 0, y32[0] == 0, 
       y33[0] == 1/3};
    system = Join[equations, startConditions];
    solution = 
      ParametricNDSolveValue[system, 
       y33[1], {t, 0, 1}, {δ, Γ3}, 
       MaxSteps -> ∞];
    Plot[Evaluate[D[solution[δ, 1], δ]], {δ, -1, 1}]

Where S1 is some 9X9 matrix with elements contains the parameters δ, Ω  Γ3, Γ 

Here is the code that creates S1:

      ZeroMatrix = 
      Table[0, {i, 1, 3}, {j, 1, 3}];(*initialize zeros matrix*)



    x11 = ZeroMatrix; x11[[1, 1]] = 1;
    x22 = ZeroMatrix; x22[[2, 2]] = 1;
    x33 = ZeroMatrix; x33[[3, 3]] = 1;

    x12 = ZeroMatrix; x12[[1, 2]] = 1;
    x13 = ZeroMatrix; x13[[1, 3]] = 1;
    x23 = ZeroMatrix; x23[[2, 3]] = 1;

    x21 = Transpose[x12];
    x31 = Transpose[x13];
    x32 = Transpose[x23];

    Γ1 = Γ; Γ2 = \
    Γ;(*defining decoherence rate*)

    H = Ω (x13 + x31 + x23 + x32) + δ (x22 - 
      x11);(*interaction hamiltonian*)

    damp32[ρ_] := -I (H.ρ - ρ.H) + Γ1/
     2*(2*(x13.ρ.x31) - (ρ.x33) - (x33.ρ)) + \
    Γ2/
     2*(2*(x23.ρ.x32) - (ρ.x33) - (x33.ρ)) + \
    Γ3/
     2 *(2 (x11 - x22).ρ.(x11 - x22) - (x11 + 
         x22) ρ - ρ (x11 + x22));

    ρ2 = Array[r, {3, 3}];(*Definition of the density matrix*)

    OL = damp32[ρ2];(*inserting density matrix into master equation*)


    OLF = Flatten[OL]; ρF = 
    Flatten[ρ2];(*The input and output line vectors*)

    S1 = Transpose[
        Table[D[OLF, ρF[[j]]], {j, 1, 9}]];(*The super operator*)

The code plots nothing and also doesn't print any error message.
Any suggestions?