The substitution y = z α transforms the differential equation (x 2 y 2 – 1)dy + 2xy 3 dx…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

The substitution y = zα transforms the differential equation (x2y2 – 1)dy + 2xy3dx = 0 into a homogeneous differential equation for
  1. α = – 1
  2. 0
  3. α = 1
  4. no value of α.

Answer

(A) α = – 1

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