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Show that the given differential equatio...

Show that the given differential equation `xdy-ydx=sqrt(x^(2)+y^(2))` dx is homogenous and solve it.

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To solve the differential equation \( x \, dy - y \, dx = \sqrt{x^2 + y^2} \, dx \) and show that it is homogeneous, we will follow these steps: ### Step 1: Rearranging the Equation We start with the given equation: \[ x \, dy - y \, dx = \sqrt{x^2 + y^2} \, dx \] Rearranging gives: ...
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