Q. 225.0( 1 Vote )

Mark the correct alternative in each of the following:

The differential equation satisfied by ax2 + by2 = 1 is

A. xyy2 + y12 + yy1 = 0

B. xyy2 + xy12 – yy1 = 0

C. xyy2 – xy12 + yy1 = 0

D. none of these

Answer :

ax2 + by2 = 1

Since it has two arbitrary constants, we differentiate it twice w.r.t x


Differentiate w.r.t x



--(1)


Again, differentiate w.r.t x


Applying product rule



Put value of a in (1) we get,





Which is xyy2 + xy12 – yy1 = 0 =(B)

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