GATE Mechanical Engineering (ME) 2012 Solved Paper

Question : 45 of 65

Marks: +1, -0

Consider the differential equation

x^{2}\;{d^{2}y}/{dx^{2}} + x\;{dy}/{dx}−4y = 0

with the boundary conditions of y(0) = 0 and y(1) = 1. The complete solution of the differential equation is

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