Ex 9.1, 11 - The degree of differential equation (d2y/dx2)3 - Ex 9.1

  1. Class 12
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Ex 9.1, 11 The degree of the differential equation 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯﷯﷮3﷯+ 𝑑𝑦﷮𝑑𝑥﷯﷯﷮2﷯+𝑠𝑖𝑛 𝑑𝑦﷮𝑑𝑥﷯﷯+1=0 is (A) 3 (B) 2 (C) 1 (D) Not defined 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯﷯﷮3﷯+ 𝑑𝑦﷮𝑑𝑥﷯﷯﷮2﷯+𝑠𝑖𝑛 𝑑𝑦﷮𝑑𝑥﷯﷯+1=0 ∴ 𝑦﷮′′﷯﷯﷮3﷯+ 𝑦﷮′﷯﷯﷮2﷯+sin 𝑦﷮′﷯﷯+1=0 Since 𝑦﷮′﷯ is in sin 𝑦﷮′﷯﷯ It is not a Polynomial equation in derivative ∴ Degree is not Defined ∴ Option D is correct.

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