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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’š^โ€ฒโ€ฒโ€ฒโ€ฒโˆ’๐’”๐’Š๐’ (๐’š^โ€ฒโ€ฒโ€ฒ )=๐ŸŽ 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.

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

About the Author

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