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KCET2022MathematicsDifferential Equations

The sum of the degree and order of the differential equation (1+y₁^2 )^ 2 / 3 =y₂ is

Options

  1. A4
  2. B6
  3. C5
  4. D7

Correct answer

C. 5

Step-by-step solution

(1+y₁^2 )^ 2 / 3 =y₂ [ (1+y₁^2 )^ 2 / 3 ]^3= (y₂ )^3 (1+y₁^2 )^2=y₂^3 Here, highest derivative is y₂ . Therefore, order is 2 and power of y₂ is 3 . So, the degree is 3 . Hence, required sum =2+3=5

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