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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

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.