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Consider the differential equation, y^2 dx + (x - 1/y) dy = 0, If value of y is 1 when x = 1, then the value

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Consider the differential equation, y2 dx + (x - 1/y)  dy = 0, If value of y is 1 when x = 1, then the value of x for which y = 2, is :

(1)  3/2 - 1/√e

(2)  3/2 - √e

(3)  1/2 + 1/√e

(4) 5/2 + 1/√e

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Correct option  (1)  3/2 - 1/√e

Explanation: 

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