Chapter 4.7, Problem 8E

In Problems 5 through 8, determine whether Theorem 5 applies. If it does, then discuss what conclusions can be drawn. If it does not, explain why.

$\left(1-t\right)y^{″}+t{y}^{\prime }-2y=\sin t$;

$y\left(0\right)=1$,

$y^{\prime }\left(0\right)=1$