Form the differential equation representing the family of curves y=mx, where, m is arbitrary constant.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
be a curve passing through (1,1)
such that the triangle formed by the coordinate axes and the tangent at any point of the curve lies in the first quadrant and has area 2. Form the differential equation and determine all such possible curves.
Form the differential equation of all circles touching the x-axis at the origin and center on y-axis.
The solution of the differential equation 2x2ydxdy=tan(x2y2)−2xy2, given y(1)=2π, is
If the eccentricity of the curve for which tangent at point P
intersects the y-axis at M
such that the point of tangency is equidistant from M
and the origin is e,
then the value of 5e2
The solution of xdy−ydxxdx+ydy=x2+y21−x2−y2 is
The differential equation of the family of curves y=ex(Acosx+Bsinx), where A and B are arbitrary constants is
Find the order and degree of the following differential equation: