Question: Show that if u (x) solves xu + 2u - 4xu = 0, then v(x) = xu(x) solves a linear, constant coefficient equation. Use this

Show that if u (x) solves xu" + 2u′ - 4xu = 0, then v(x) = xu(x) solves a linear, constant coefficient equation. Use this to find the general solution to the given differential equation. Which of your solutions are continuous at the singular point x = 0? Differentiable?

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