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1.
The solution of 
is given by 
, which is equal to
is given by , which is equal to
2.
The differential equation of the family of circles with fixed radius 5 unit and centre on the line 
, is
, is
3.
Solution of the differential equation 
is
is
4.
The differential equation 
(
is any constant) represents
( is any constant) represents
5.
The equation of the curve for which the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the normal on 
-axis and passing through (2, 1) is
-axis and passing through (2, 1) is