Which of the following functions satisfies the equation y′+2xy=0y' + 2xy = 0y′+2xy=0 with y(0)=1y(0) = 1y(0)=1?
y=ex2y = e^{x^2}y=ex2
y=1−x2y = 1 - x^2y=1−x2
y=e−x2y = e^{-x^2}y=e−x2
y=e−2xy = e^{-2x}y=e−2x