1. (a) Show that (x) x² is an explicit solution to dy X- = 2y dx on the interval (-∞, ∞). (b) Show that (x) = e* – x is an explicit solution to dy + y² = e²* + (1– 2x)e* + x² – 1 dx on the interval (-∞, ∞). (c) Show that (x) to x*d²y/dx² = 2y on the interval (0, ∞). = x² – x-1 is an explicit solution

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