习题6-8
1.(1)y=C1+C2
(2)y=(C1+C2x)e3x+
(3)y=C1cos 2x+C2sin 2x+
xcos x+
sin x;
(4)y=ex(C1cos 2x+C2sin 2x)-
xexcos 2x;
(5)y=C1cos x+C2sin x+
sin x;

3.y″-y′-2=ex+2e2x-2.

(3)y*=(x2-x)e2x.
5.y-xy′=
f(t)dt.
6.φ(x)=
(cos x+sin x+ex).
7.
+4u=ex,ycos x=C1cos 2x+C2sin 2x+