Verify that x2 and x3 are solutions of x2y" −4xy' + 6y = 0 on −∞<x<∞. Also verify, from Theorem 3.2.4, that they are LI on that interval. Does the fact that their Wronskian W[x2, x3](x) = x4 vanishes at x = 0, together with their linear independence on −∞<x<∞ violate Theorem 3.2.3? Explain.
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