Misc 1 (iii) - Chapter 9 Class 12 Differential Equations

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Misc 1 (iii) - Find order and degree of y'''' - sin (y''') = 0 - Miscellaneous

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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.

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