Question
If $x^{m} y^{n}=(x+y)^{m+n}$, prove that, $\frac{d y}{d x}=\frac{y}{x}$
Step 1
Using the properties of logarithms, we can simplify the equation as follows: \[\ln(x^{m} y^{n}) = \ln((x+y)^{m+n})\] \[m \ln(x) + n \ln(y) = (m+n) \ln(x+y)\] Show more…
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