Gate Physics Question
Consider the ordinary differential equation
𝑦” − 2𝑥𝑦’+ 4𝑦 = 0
and its solution 𝑦(𝑥) = 𝑎 + 𝑏𝑥 + 𝑐𝑥. Then
(A) 𝑎 = 0, 𝑐 = −2𝑏 ≠ 0
(B) 𝑐 = −2𝑎 ≠ 0, 𝑏 = 0
(C) 𝑏 = −2𝑎 ≠ 0, 𝑐 = 0
(D) 𝑐 = 2𝑎 ≠ 0, 𝑏 = 0
SK Math Expert Answered question August 1, 2023