GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/23

Question 23 (Textile Engineering & Fibre Science)

Using exp(-x^2) as an integrating factor, the solution of the first order differential equation

    \[y'-2xy=1\]

in terms of the error function [erf(x)] and a constant of integration c, is given by

(A)y=[c-\frac{\sqrt{\pi}}{2}erf(x)]exp(-x^2)
(B)y=[\frac{\sqrt{\pi}}{2}erf(x)+c]exp(-x^2)
(C)y=[\frac{\sqrt{\pi}}{2}erf(x)+c]exp(x^2)
(D)y=[c-\frac{\sqrt{\pi}}{2}erf(x)]exp(x^2)
[Show Answer]

Option D is correct.

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