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Find the differential equations of the f...

Find the differential equations of the family of circles (i) touching the y-axis at the origin (ii) having centres on the y-axis and passing through the origin.

Text Solution

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The correct Answer is:
(i) `y^(2) - x^(2) = 2xy(dy)/(dx)`
(ii) `(x^(2) - y^(2))(dy)/(dx) - 2xy = 0`
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