Differential of Logarithm of Quotient
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This theorem requires a proof..
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Theorem
- $\map \d {\ln \dfrac x y} = \dfrac {y \rd x - x \rd y} {x y}$
Proof
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Sources
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 2.9$: Integrating Factors: $(16)$