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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

`1/2x`

B

`2x^2`

C

2x

D

`1/2x^2`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
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  17. Let y=y(x) be the solutio of the differential equation dy/dx+2y=f(x), ...

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