The solution of differential eqation x^{2} {d^{2}y}/{dx^{2}}−x\frac{dy}{dx} + y = logx will be:

Correct Answer is : y = (C1 + C2 logx)x + logx + 2, where C1 and C2 are arbitrary constants.

y = C 1 + C 2 xlogx + x 2 logx, where C 1 and C 2 are arbitrary constants.

y = (C 1 + C 2 logx)x + logx + 2, where C 1 and C 2 are arbitrary constants.

y = C 1 x + C 2 logx + 3, where C 1 and C2 are arbitrary constants.

y = (C 1 x + C 2 logx)x + log(2x) + 2, where C 1 and C 2 are arbitrary constants.

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 103 of 120

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The solution of differential eqation

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

will be:

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