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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo