The given equation is
...(1)
Differentiating both sides w.r.t. x, we get,
...(2)
Putting value of 2a from (2) in (1), we get,
or
which is the required differential equation.
Find the differential equation that will represent the family of curves given by (a, b: parameter):
y = ax3
Find the differential equation that will represent the family of curves given by (a, b: parameter):
x2 + y2 = a x3
Find the differential equation that will represent the family of curves given by (a, b: parameter):
y = eax