1.

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.

Answer»


ANSWER :(i) `y^(2) - X^(2) = 2xy(dy)/(DX)`
(ii) `(x^(2) - y^(2))(dy)/(dx) - 2xy = 0`


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