Ex 9.1, 5 - Determine order, degree d2y/dx2 = cos(3x) + sin(3x) - Order and Degree

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.1, 5 Determine order and degree (if defined) of differential equations given 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯=𝑐𝑜𝑠 3𝑥﷯+𝑠𝑖𝑛 3𝑥﷯ 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯=𝑐𝑜𝑠 3𝑥﷯+𝑠𝑖𝑛 3𝑥﷯ ∴ 𝑦﷮′′﷯=𝑐𝑜𝑠 3𝑥﷯+𝑠𝑖𝑛 3𝑥﷯ Highest Order Of Derivative =2 ∴ Order =𝟐 Degree = Power of 𝑦﷮′′﷯ Degree =𝟏

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