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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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.