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If the differential equation representin...

If the differential equation representing the family of all circles touching `x`-axis at the origin is `(x^2-y^2)(dy)/(dx)=g(x)y` then `g(x)` equals, (A) `x/2` (B) `2x^2` (C) `2x` (D) `(x^2)/2`

A

`1/2 x`

B

`2x^2`

C

2x

D

`1/2 x^2`

Text Solution

Verified by Experts

The correct Answer is:
C
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