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Determine order and degree (if defined) of differential equations given`((d^2y)/(dx^2))^2+cos((dy)/(dx))=0`

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To determine the order and degree of the given differential equation \(\left(\frac{d^2y}{dx^2}\right)^2 + \cos\left(\frac{dy}{dx}\right) = 0\), we will follow these steps: ### Step 1: Identify the highest order derivative The first step is to identify the highest order derivative present in the differential equation. In the equation \(\left(\frac{d^2y}{dx^2}\right)^2 + \cos\left(\frac{dy}{dx}\right) = 0\), the highest order derivative is \(\frac{d^2y}{dx^2}\). ### Step 2: Determine the order ...
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