Find the general solution to y′+2xy=xy' + 2xy = xy′+2xy=x using an integrating factor.
y=1/2+Ce−x2y = 1/2 + Ce^{-x^2}y=1/2+Ce−x2
y=1/2+Cex2y = 1/2 + Ce^{x^2}y=1/2+Cex2
y=x2+Ce−x2y = x^2 + Ce^{-x^2}y=x2+Ce−x2
y=Ce−x2y = Ce^{-x^2}y=Ce−x2