Find the general solution to y′′+4y′+5y=0y'' + 4y' + 5y = 0y′′+4y′+5y=0.
y=e−2x(Acosx+Bsinx)y = e^{-2x}(A \cos x + B \sin x)y=e−2x(Acosx+Bsinx)
y=e2x(Acosx+Bsinx)y = e^{2x}(A \cos x + B \sin x)y=e2x(Acosx+Bsinx)
y=e−x(Acos2x+Bsin2x)y = e^{-x}(A \cos 2x + B \sin 2x)y=e−x(Acos2x+Bsin2x)
y=e−2x(Acos2x+Bsin2x)y = e^{-2x}(A \cos 2x + B \sin 2x)y=e−2x(Acos2x+Bsin2x)