Verify that `y=c e^(t a n-1_x)` is a solution of differential equation `(1+x^2)(d^2y)/(dx^2)+(2x-1)(dy)/(dx)=0.`

Explanation

To verify that \( y = C e^{\tan^{-1}(x)} \) is a solution of the differential equation

\[ (1+x^2) \frac{d^2y}{dx^2} + (2x-1) \frac{dy}{dx} = 0, \]

we will follow these steps:

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