yetysint2y0 yetysint2y0Solution yetysint2y0 ytsint2ytetyt yt

Solution

y\"+e^ty\'-sin(t^2)y=0        

y(t)sin(t²)=y\"(t)+e^ty\'t

y\"(t)=y(t)sin(t²)-e^ty\'(t)

=-1/2ie^{-it^2}y(t)+1/2ie^{it^2} y(t)+y\"(t)+e^ty\'(t)=0