# The solution of the differential equation 4 d²y/dx² – 4 dy/dx +y=0

The solution of the differential equation 4 d²y/dx² – 4 dy/dx +y=0 satisfying y=-2, y’=2 when x=0 is

(a) y=(2x-3)e^{x/2}

(b) y=(3x-2)e^{x/2}

(c) y=e^{x/2}+e^{-x/2}

(d) y+(3x-1)e^{-x/2}