Ex 9.1, 1 - Determine order and degree of differential equations - Ex 9.1

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.1, 1 Determine order and degree (if defined) of differential equations. 𝑑﷮4﷯𝑦﷮𝑑 𝑥﷮4﷯﷯ +𝑠𝑖𝑛 𝑦﷮′′﷯ ′ ﷯=0 𝑑﷮4﷯𝑦﷮𝑑 𝑥﷮4﷯﷯+𝑠𝑖𝑛 𝑦﷮′′﷯′ ﷯=0 𝑦﷮′′﷯﷮′﷯+𝑠𝑖𝑛 𝑦﷮′′﷯′ ﷯=0 Highest Order of Derivative =4 ∴ Order =𝟒 Degree :- Since 𝑦﷮′′′﷯ is in 𝑠𝑖𝑛 𝑦﷮′′﷯′ ﷯ It is not a polynomial equation in derivative ∴ Degree Is Not Defined

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