Summary of the properties of the differential equations for various structural pairs with the direct method.
|Pair||Order of o.d.e.||Integration by parts|
|ρ,Γ1 (or Y)||0-algebraic||No|
|g,Γ1 (or Y)||1||No|
|P,Γ1 (or Y)||2||No|
|c2,Γ1 (or Y)||2||No|
|u,Γ1 (or Y)||2||No|
|A,Γ1 (or Y)||3||Yes|
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