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Find the differential equation of y = A...

Find the differential equation of ` y = Ax + (B)/(x)` , where A and B are arbitrary constants .

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The correct Answer is:
, `x^(2) (d^(2))/(dx^(2)) + x (dy)/(dx) - y = 0 `
Which is the required differential equation of the family of curves represented by (1) .
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