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If y = y(x) is the solution of the differential equation x dx dy + 2y = = xe x , y

1. = 0 then the local maximum value of the function z(x) = x 2 y(x) – e x , x ∈ R is
2. 1 – e
3. 0
4. 2 1 (4) e 4 – e

Correct answer: 2 1 (4) e 4 – e

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