Question

Show that y=Ae^(-t) sint is a solution of d^2 y+2 dy/dt+2y=0

Answer 1

is it d^2y only or (d^2y)/(dt)^2

Answer 2

yeah its (d^2y)/(dt)^2

Answer 3

derive y w.r.t t to get dy/dt
then derive dy/dt to get d^2y/(dt)^2
then substitude them into the equation d^2 y+2 dy/dt+2y=0
you do the derive work :)