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Q.The solution of dydx=y(x−1)x(y−1)\dfrac{dy}{dx} = \dfrac{y(x-1)}{x(y-1)} passing through (1,1)(1,1) is

a
log⁡∣xy∣=x+y−1\log|xy| = x + y - 1
b
log⁡∣xy∣=x−y+1\log|xy| = x - y + 1
c
xy=ex+yxy = e^{x+y}
d
xy=ex−yxy = e^{x-y}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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