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Find the general solution of (dy)/(dx)-3...

Find the general solution of `(dy)/(dx)-3y=sin 2x`

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To solve the differential equation \(\frac{dy}{dx} - 3y = \sin 2x\), we will follow the steps for solving a first-order linear differential equation. ### Step 1: Identify the standard form The equation can be rewritten in the standard form of a linear differential equation: \[ \frac{dy}{dx} + p y = q \] where \(p = -3\) and \(q = \sin 2x\). ...
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