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Misc 1 - Chapter 9 Class 12 Differential Equations - Part 3

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Misc 1 For each of the differential equation given below , indicate its order and degree (𝑖𝑓 𝑑𝑒𝑓𝑖𝑛𝑒𝑑) (iii) (𝑑^4 𝑦)/(𝑑𝑥^4 )−𝑠𝑖𝑛((𝑑^3 𝑦)/(𝑑𝑥^3 ))=0 (𝑑^4 𝑦)/(𝑑𝑥^4 )−𝑠𝑖𝑛((𝑑^3 𝑦)/(𝑑𝑥^3 ))=0 𝑦^′′′′−𝑠𝑖𝑛 (𝑦^′′′ )=0 Highest order of derivative = 4 ∴ Order = 4 Since 𝑦^′′′ is in sin (y^′′′ ) It is not a polynomial equation Thus, degree is not defined.

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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.