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Results in parentheses are the second solutions.
The first and the second solutions are respectively given by the arithmetic and the geometric sequences.
(7) and (8) are stable and physically realizable, while the lower branch (the second) solutions are not.
Further, it should be mentiond that the first solutions of f 0) and -θ'(0) are stable and physically realizable, while the second solutions are not.
It follows from the hypergeometric equation theory that the first and the second solutions for the hyperbolic parabolic equation are Pi_{1} z) =g a,b c z) =F biggl sigma -l,C+sigma-l+1; frac{1}{2};z biggr) and begin{aligned} Pi_{2} z) =z^{1/2}F biggl( sigma-l+frac{1}{2},C+ sigma-l+frac{3}{2},frac {3}{2};z biggr), end{aligned} respectively.
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Instead, the molecules in the second solution have an enzyme attached to them.
If you can find the second solution, can you prove there are no more?
The second solution is to continue to tighten the regulations and the monitoring of manure containment systems.
The second solution is in many cookbooks: top the custard with sugar and throw it in the broiler.
The first solution is shown by marker while the second solution by the dotted line.
In case of wastewater systems the second solution is preferable.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com