Question

can someone help me in differential equations. families of curves. obtain the differential equation of the confocal central conics x^2/(a^2+lambda) + y^2/(b^2+lambda) = 1

Answer 1

\[x^2/(a^2+\lambda) + y^2/(b^2+\lambda) =1\]

Answer 2

with a and b held fixed...

Answer 3

how about lambda? eliminate it?

Answer 4

or lambda is fixed

Answer 5

?

Answer 6

lambda to be eliminated..