GATE XE (Engineering Sciences) 2024 - Question 16

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Section: Engineering Mathematics | Type: NAT | Marks: 1

For some integer π‘˜, the differential equation π‘₯2 𝑑2𝑦 𝑑π‘₯2 βˆ’3π‘₯𝑑𝑦 𝑑π‘₯+ (π‘˜+ 2)𝑦= 0 is transformed into (π·βˆ’2)2𝑦= 0, where 𝐷= 𝑑 𝑑𝑑 and 𝑑= log𝑒π‘₯. Then, the value of π‘˜ is _____

Answer: 2

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