Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Ordinary Differential Equations
For some real number c with 0 < c < 1, let φ: (1 − c, 1 + c) → (0, ∞) be a differentiable function such that φ(1) = 1 and y = φ(x) is a solution of the differential equation (x2 + y2)dx − 4xy dy = 0. Then which one of the following is true?
1
(3(φ(x))2 + x2)2 = 4x.
2
(3(φ(x))2 - x2)2 = 4x.
3
(3(φ(x))2 + x2)2 = 4φx.
4
(3(φ(x))2 - x2)2 = 4φx.