Show that the differential equation `dy/dx=y` is formed by eliminating a and b from the relation `y = ae^(b + x)` . Justify why the eliminate is of the first order although the relation involves two constants a and b.

The differential equation obtained by eliminating a and b from y=ae^(bx) is

Show that the differential equation x (yy_(2) + y_(1)^(2)) = yy_(1) is formed by eliminating a, b and c from the relation ax^(2) + by^(2) + c = 0 . Justify why the eliminate is of the second order although the given relation involves three constants a, b and c .

The differential equation obtained by eliminating a and b from y=ae^(3x)+be^(-3x) is

Form the differential equation by eliminating the arbitrary constant from the equation y = a cos (2x + b)

Find the differential equation by eliminating arbitrary constants from the relation y = (c_(1) + c_(2)x)e^(x)

Find the differential equation by eliminating arbitrary constants from the relation x ^(2) + y ^(2) = 2ax

The differential equation by eliminating A and B from y = Ae^(3x) + Be^(2x) is