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Solve ((dy)/(dx))=e^(x-y)(e^x-e^y)dot...

Solve `((dy)/(dx))=e^(x-y)(e^x-e^y)dot`

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To solve the differential equation \(\frac{dy}{dx} = e^{x-y}(e^x - e^y)\), we will follow a systematic approach. Let's break it down step by step. ### Step 1: Rewrite the equation We start with the given equation: \[ \frac{dy}{dx} = e^{x-y}(e^x - e^y) \] We can rewrite \(e^{x-y}\) as \(\frac{e^x}{e^y}\): ...
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