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MathsJEE Main 22 Jan 2026, Shift 1·Q19·MCQ·Moderate

Differential Equations · Homogeneous differential equations

Let the solution curve of the differential equation x dy−y dx=x2+y2 dxx\,dy - y\,dx = \sqrt{x^2 + y^2}\,dx, x>0x > 0, y(1)=0y(1) = 0, be y=y(x)y = y(x). Then y(3)y(3) is equal to
  1. (1)4
  2. (2)6
  3. (3)1
  4. (4)2

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