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MHT CET2016MathematicsDifferential Equations

If y = e m sin - 1 ⁡ x a n d 1 - x 2 d y d x 2 = A y 2 , then A = ________

Options

  1. Am
  2. B– m
  3. Cm 2
  4. D- m 2

Correct answer

C. m 2

Step-by-step solution

Given, y = e m sin - 1 ⁡ x ⇒ d y d x = e m sin - 1 ⁡ x ⋅ m ⋅ 1 1 - x 2 ⇒ d y d x 2 = m 2 y 2 1 - x 2 ∴ 1 - x 2 d y d x 2 = m 2 y 2 ∴ A = m 2

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