Hjælpefunktionen
35
36
differentieres:
37
38
39
40
41
42
43
44
Hermed har vi en
45
differentialligning af typen:
46
y ' = b - a y, i hvilken a ∼ b, og
47
b ∼ a, og som er givet ved:
48
y = b / a + c e ^ ( -a x ).
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Dermed er h ( x ) =
50
51
⇔
52
53
= 1 / f ( x ) ⇔ f ( x ) =
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55
56
57
58
59
Med konstateringen af, at
60
funktionerne i linje 57 og 33
61
er ens, er bevisførelsen slut.
62
Konstanterne a, b og c
63
64
65
66
Animation
67
68
69
70
71
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