Find the general solution of the differential equation dxdy+1−x21−y2=0.
The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2
A curve C passes through (2,0) and the slope at (x,y) as x+1(x+1)2+(y−3)˙ Find the equation of the curve. Find the area bounded by curve and x-axis in the fourth quadrant.
For equation of the curve whose subnormal is constant, then (a) its eccentricity is 1 (b) its eccentricity is 2 (c) its axis is the x-axis (d)its axis is the y-axis.