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KCET2007MathematicsDifferential Equations

The order and degree of the differential equation [1+ ( d y d x )⁵ ]^ 1 3 = d² y d x² are respectively

Options

  1. A1,5
  2. B2,1
  3. C2,5
  4. D2,3

Correct answer

D. 2,3

Step-by-step solution

Given differential equation is [1+ ( d y d x )⁵ ]^ 1 / 3 = d² y d x² On cubing both sides, we get 1+ ( d y d x )⁵= ( d² y d x² )³ Now, order is 2 and degree is 3 .

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