Show that the given differential equation is homogeneous and solve it.ydx+xlog(xy)dy−2xdy=0
Find the differential equation of all the ellipses whose center is at origin and axis are co-ordinate axis.
The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal (a) is linear (b) is homogeneous of second degree (c) has separable variables (d) is of second order
Tangent to a curve intercepts the y-axis at a point P A line perpendicular to this tangent through P passes through another point (1,0). The differential equation of the curve is