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The equation of curve passing through or...

The equation of curve passing through origin and satisfying the differential equation `(1 + x^2)dy/dx + 2xy = 4x^2` , is

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To solve the given differential equation and find the equation of the curve passing through the origin, we will follow these steps: ### Step 1: Rewrite the Differential Equation The given differential equation is: \[ (1 + x^2) \frac{dy}{dx} + 2xy = 4x^2 \] We can rewrite this by dividing every term by \(1 + x^2\): ...
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