Question

the differential equation by eliminating arbitrary constant "a"for the equation x3+y3=4ax is​

Answer 1

Answer:

Consider the given equation.

y

2

=4ax …… (1)

On differentiating both sides w.r.t x, we get

2y

dx

dy

=4a ……. (2)

From equations (1) and (2), we get

y

2

=2y

dx

dy

x

2x

dx

dy

=y

dx

dy

=

2x

y

dx

dy

−

2x

y

=0