Misc 1 (iii) - Chapter 9 Class 12 Differential Equations
Last updated at Dec. 16, 2024 by Teachoo
Miscellaneous
Misc 1 (i)
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Chapter 9 Class 12 Differential Equations
Serial order wise
Transcript
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.
