question_answer 26)

y2 = a (b2 – x2)  

Answer:

y2 = a(b2 ? x2)                            ?. (1)       Differentiate it w.r.t. x, we get       2yy? = a(0 ? 2x)                                           ?. (2)       Again differentiate w.r.t. x       yy? + y?.y? = ? a                                    [Using (2)]                  = 0       which is the required differential equation.