question_answer 32)

Form the differential equation of the family of ellipses having foci on Y-axis and centre at origin.  

Answer:

The equation of family of ellipse having foci on Y-axis and centre at origin is                                            ? (1)       where a and b are arbitrary constants.       Differentiate it w.r.t. x, we get                                                ?..(2)       Again differentiate w.r.t. x             Multiply it by x                            ? (3)       (3) ? (2)                   which is the required differential equation.