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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.