b)
y1(x)=ex=y1′(x)=y1′′(x)=y1′′′(x)
Damity′′′−y′′+y′−y=0.
y2(x)=sin(x)y2′(x)=cos(x)y2′′(x)=−sin(x)y2′′′(x)=−cos(x)
Damity′′′−y′′+y′−y=0.Denny′′′+y′=y′′+y=0
y3(x)=cos(x)y3′(x)=−sin(x)y3′′(x)=−cos(x)y3′′′(x)=sin(x)
Damity′′′−y′′+y′−y=0.Denny′′′+y′=y′′+y=0