Whakaoti mō c
c=\frac{\sqrt{y^{2}-1}+y}{e^{x}}
|y|\geq 1
Whakaoti mō x
x=\ln(\frac{\sqrt{y^{2}-1}+y}{c})
\left(c<0\text{ and }y\leq -1\right)\text{ or }\left(c>0\text{ and }y\geq 1\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
ce^{x}=y+\sqrt{y^{2}-1}
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
e^{x}c=\sqrt{y^{2}-1}+y
He hanga arowhānui tō te whārite.
\frac{e^{x}c}{e^{x}}=\frac{\sqrt{y^{2}-1}+y}{e^{x}}
Whakawehea ngā taha e rua ki te e^{x}.
c=\frac{\sqrt{y^{2}-1}+y}{e^{x}}
Mā te whakawehe ki te e^{x} ka wetekia te whakareanga ki te e^{x}.
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