The solution of differential equation \frac{dy}{dx} + \frac{y}{x} = x, with condition that y = 1 at x = 1, is

y = \frac{2}{3x^{2}} + \frac{x}{3}

y = \frac{2}{3x} + \frac{x^{2}}{3}

GATE Civil Engineering (CE) 2011 Solved Paper

Question : 40 of 65

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The solution of differential equation

\;{dy}/{dx} + \;{y}/{x} = x,

with condition that y = 1 at x = 1, is

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