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JEE Math Practice Question

Which of the following is true for y(x) that satisfies the differential equation $${{dy} \over {dx}}$$ = xy $$-$$ 1 + x $$-$$ y; y(0) = 0 :

  1. A.y(1) = 1
  2. B.y(1) = e$$-$$$${1 \over 2}$$ $$-$$ 1
  3. C.y(1) = e$${1 \over 2}$$ $$-$$ e$$-$$$${1 \over 2}$$
  4. D.y(1) = e$${1 \over 2}$$ $$-$$ 1

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