For any real numbers a and B, let ya, B (X), x = R, be the...

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For any real numbers a and B, let ya, B (X), x = R, be the solution of the differential equation dy -+ay=xe*, y(1)=1. dx Let S = {Ya, (x): α, BER). Then which of the following functions belong(s) the set S? -X (A) f(x) = e + e- 2 ex (C) f(x) = X 2 --1/72e-x -X е 1 2 + e- e² 4 e-x x² (B) f(x)= e + e+ -X 2 (D) f(x) = ex (1 2 2 -X -X - x) + (0 + €²³) ₁× 4 For any real numbers a and B, let ya, B (X), x = R, be the solution of the differential equation dy -+ay=xe*, y(1)=1. dx Let S = {Ya, (x): α, BER). Then which of the following functions belong(s) the set S? -X (A) f(x) = e + e- 2 ex (C) f(x) = X 2 --1/72e-x -X е 1 2 + e- e² 4 e-x x² (B) f(x)= e + e+ -X 2 (D) f(x) = ex (1 2 2 -X -X - x) + (0 + €²³) ₁× 4

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