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Exact(60)
Putting, is a solution of (3.40).
then is a solution of (1.1).
Assume that is a solution of (1.9).
Therefore, u is a solution of (1.1).
Therefore x is a solution of (E).
Hence is a solution of for.
Hence is a solution of (2.20).
Accordingly, u is a solution of (4).
Now, showing that is a solution of.
Conversely, if is a solution of (2.18).
Suppose is a solution of (1.5) and.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com