Are y₁ (1) = x, y₂(x) = ze² a fundamental set of solution for the equation r²y" − x(x + 2)y' + (x + 2)y=0, 0 < x? Justify your answer.

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Q: Are the functions y₁(x) = e, y2(x) = ze a fundamental set of solutions for the equation y" - 2y + y…

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Q: Consider the following equation: x?y" + 2xy' – 2y = 0; x > 0; y = y(x) (1) 1. Verify that y, (x) = x…

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A: Given :