Word Count : 186

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We are tasked with solving the differential equation: \[ \frac{y^2}{2} + 2ye^t + (y + e^t) \frac{dy}{dt} = 0 \] ### Step 1: Rearrange the equation We can rewrite the equation as: \[ (y + e^t) \frac{dy}{dt} = - \left( \frac{y^2}{2} + 2ye^t \right) \] Divide ______ _________ _________ _______ _______ ___.
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