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xy + y^(2) = tan x + y...

`xy + y^(2) = tan x + y `

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To find \(\frac{dy}{dx}\) for the equation \(xy + y^2 = \tan x + y\), we will differentiate both sides with respect to \(x\) and solve for \(\frac{dy}{dx}\). ### Step-by-Step Solution: 1. **Differentiate both sides of the equation**: \[ \frac{d}{dx}(xy + y^2) = \frac{d}{dx}(\tan x + y) \] ...
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