Question:
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?
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?
Updated On: Oct 1, 2024
- (3(φ(x))2 + x2)2 = 4x
- (3(φ(x))2 - x2)2 = 4x
- (3(φ(x))2 + x2)2 = 4φ(x)
- (3(φ(x))2 - x2)2 = 4φ(x)
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The Correct Option is B
Solution and Explanation
The correct option is (B): (3(φ(x))2 - x2)2 = 4x
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