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

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Ex 9.1, 11 The degree of the differential equation ((𝑑^2 𝑦)/(𝑑𝑥^2 ))^3+(𝑑𝑦/𝑑𝑥)^2+𝑠𝑖𝑛(𝑑𝑦/𝑑𝑥)+1=0 is (A) 3 (B) 2 (C) 1 (D) Not defined ((𝑑^2 𝑦)/(𝑑𝑥^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 ∴ Degree is Not Defined ∴ Option D is correct.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.