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For the differential equation , find th...

For the differential equation , find the particular solution satisfying the given condition:`(dy)/(dx)-y/x+cose c(y/x)=0; y=0`when x = 1

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To solve the differential equation \(\frac{dy}{dx} - \frac{y}{x} + \csc\left(\frac{y}{x}\right) = 0\) with the initial condition \(y = 0\) when \(x = 1\), we will follow these steps: ### Step 1: Rewrite the Differential Equation We start by rewriting the given differential equation in a more manageable form: \[ \frac{dy}{dx} = \frac{y}{x} - \csc\left(\frac{y}{x}\right) \] ...
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