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Kuba
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This is a quick possibility:

myExpand[expr_] := Module[{tmp}, Unprotect[Plus]; ClearAttributes[Plus, Orderless]; tmp = HoldForm @@ {Expand[expr] /. a_Plus :> Reverse[a]}; SetAttributes[Plus, Orderless]; tmp]; w = f[r, \[CapitalTheta]];Θ]; lapla12 = -(r/(2 \[Mu]μ)) (1/r D[w/r r, {r, 2}] -  1/r^2 (D[w/r, {\[CapitalTheta]Θ, 2}] + Cot[\[CapitalTheta]] Cot[Θ] D[w/r, {\[CapitalTheta]Θ, 1}])) //  myExpand 

This is a quick possibility:

myExpand[expr_] := Module[{tmp}, Unprotect[Plus]; ClearAttributes[Plus, Orderless]; tmp = HoldForm @@ {Expand[expr] /. a_Plus :> Reverse[a]}; SetAttributes[Plus, Orderless]; tmp]; w = f[r, \[CapitalTheta]]; lapla12 = -(r/(2 \[Mu])) (1/r D[w/r r, {r, 2}] -  1/r^2 (D[w/r, {\[CapitalTheta], 2}] + Cot[\[CapitalTheta]] D[w/r, {\[CapitalTheta], 1}])) //  myExpand 

This is a quick possibility:

myExpand[expr_] := Module[{tmp}, Unprotect[Plus]; ClearAttributes[Plus, Orderless]; tmp = HoldForm @@ {Expand[expr] /. a_Plus :> Reverse[a]}; SetAttributes[Plus, Orderless]; tmp]; w = f[r, Θ]; lapla12 = -(r/(2 μ)) (1/r D[w/r r, {r, 2}] - 1/r^2 (D[w/r, {Θ, 2}] +  Cot[Θ] D[w/r, {Θ, 1}])) // myExpand 
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Rolf Mertig
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This is a quick possibility:

myExpand[expr_] := Module[{tmp}, Unprotect[Plus]; ClearAttributes[Plus, Orderless]; tmp = HoldForm @@ {Expand[expr] /. a_Plus :> Reverse[a]}; SetAttributes[Plus, Orderless]; tmp]; w = f[r, \[CapitalTheta]]; lapla12 = -(r/(2 \[Mu])) (1/r D[w/r r, {r, 2}] - 1/r^2 (D[w/r, {\[CapitalTheta], 2}] + Cot[\[CapitalTheta]] D[w/r, {\[CapitalTheta], 1}])) // myExpand