Ex 9.1, 4 - Determine order degree - Chapter 9 Class 12 - Order and Degree

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

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