习题6-8

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+