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Table 1
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 |
|
|
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| 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 |
| N2, c2 | 3 | Yes |
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