NOTE: If not specified, the intervalIis understood to be the entirexaxis.
(Example 4, Continued)
It seems reasonable that ifC1, C2are arbitrary constants, and if we call
C1+ C2= C1′and C1 − C2= C2, (15.1)
thenC1′C2′are arbitrary too, as we claimed at the end of Example 4. Actually, for that claim to be true we need to be able to show that corresponding to any chosen valuesC1, C2 the equations (15.1) onC1, C2are consistent - that is, that they admit one or more solutions for C1, C2.Show that (15.1) is indeed consistent.
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