Question

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 1

Correct answer is B.

ax² + by² = 1

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

Differentiate w.r.t x

Again, differentiate w.r.t x

Applying product rule

Put value of a in (1) we get,