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

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  1. Chapter 9 Class 12 Differential Equations (Term 2)
  2. Serial order wise

Transcript

Misc 1 For each of the differential equation given below , indicate its order and degree (๐‘–๐‘“ ๐‘‘๐‘’๐‘“๐‘–๐‘›๐‘’๐‘‘) (iii) (๐‘‘^4 ๐‘ฆ)/(๐‘‘๐‘ฅ^4 )โˆ’๐‘ ๐‘–๐‘›((๐‘‘^3 ๐‘ฆ)/(๐‘‘๐‘ฅ^3 ))=0 (๐‘‘^4 ๐‘ฆ)/(๐‘‘๐‘ฅ^4 )โˆ’๐‘ ๐‘–๐‘›((๐‘‘^3 ๐‘ฆ)/(๐‘‘๐‘ฅ^3 ))=0 ๐‘ฆ^โ€ฒโ€ฒโ€ฒโ€ฒโˆ’๐‘ ๐‘–๐‘› (๐‘ฆ^โ€ฒโ€ฒโ€ฒ )=0 Highest order of derivative = 4 โˆด Order = 4 Since ๐‘ฆ^โ€ฒโ€ฒโ€ฒ is in sin (y^โ€ฒโ€ฒโ€ฒ ) It is not a polynomial equation Thus, degree is not defined.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.