Misc 1 (i) - Chapter 9 Class 12 Differential Equations

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Misc 1 For each of the differential equation given below , indicate its order and degree (𝑖𝑓 𝑑𝑒𝑓𝑖𝑛𝑒𝑑) (i) (𝑑^2 𝑦)/(𝑑𝑥^2 )+5𝑥(𝑑𝑦/𝑑𝑥)^2−6𝑦=log⁡𝑥 (𝑑^2 𝑦)/(𝑑𝑥^2 )+5𝑥(𝑑𝑦/𝑑𝑥)^2−6𝑦=log⁡𝑥 𝒚^′′+𝟓𝒙〖𝒚′〗^𝟐−𝟔𝒚=𝒍𝒐𝒈⁡𝒙 Highest order of derivative = 2 ∴ Order = 2 Since, power of y” is 1 ∴ 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo