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Example 1 - Chapter 9 Class 12 Differential Equations - Part 2

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Example 1 Find the order and degree, if defined , of each of the following differential equations : (ii) π‘₯𝑦 (𝑑^2 𝑦)/(𝑑π‘₯^2 )+π‘₯(𝑑𝑦/𝑑π‘₯)^2βˆ’π‘¦ 𝑑𝑦/𝑑π‘₯=0 π‘₯𝑦 (𝑑^2 𝑦)/(𝑑π‘₯^2 )+π‘₯(𝑑𝑦/𝑑π‘₯)^2βˆ’π‘¦ 𝑑𝑦/𝑑π‘₯=0 π‘₯𝑦𝑦^β€²β€²+π‘₯(𝑦^β€² )^2βˆ’π‘¦π‘¦^β€²=0 Highest order of derivative = 2 ∴ Order = 𝟐 Degree = Power of 𝑦^β€²β€² Degree = 𝟏

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