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Find (dy)/(dx) in the following:2x + 3y...

Find `(dy)/(dx)` in the following:`2x + 3y = siny`

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To find \(\frac{dy}{dx}\) for the equation \(2x + 3y = \sin y\), we will differentiate both sides with respect to \(x\). Here’s a step-by-step solution: ### Step 1: Differentiate both sides Differentiate the equation \(2x + 3y = \sin y\) with respect to \(x\). \[ \frac{d}{dx}(2x) + \frac{d}{dx}(3y) = \frac{d}{dx}(\sin y) \] ...
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