GATE XE (Engineering Sciences) 2022 - Question 15

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

Let π‘¦ΰ¬΅αˆΊπ‘₯ሻ and π‘¦ΰ¬ΆαˆΊπ‘₯ሻ be two linearly independent solutions of π‘₯ΰ¬Ά 𝑑ଢ𝑦 𝑑π‘₯ଢࡆ 2π‘₯ 𝑑𝑦 𝑑π‘₯ΰ΅…2π‘¦ΰ΅Œ0, π‘₯ ࡐ0. Let π‘ŠαˆΊπ‘¦ΰ¬΅, π‘¦ΰ¬Άαˆ»αˆΊπ‘₯ሻ denote the Wronskian of π‘¦ΰ¬΅αˆΊπ‘₯ሻ and π‘¦ΰ¬ΆαˆΊπ‘₯ሻ at π‘₯. If π‘ŠαˆΊπ‘¦ΰ¬΅, π‘¦ΰ¬Άαˆ»αˆΊ1ሻࡌ1 then π‘ŠαˆΊπ‘¦ΰ¬΅, π‘¦ΰ¬Άαˆ»αˆΊ2ሻ is equal to _______.

Answer: 4

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