设y1=xex+e2x、y2=xex+e-x、y3=xex+e2x-e-x是y"+p
题型:单项选择题
问题:
设y1=xex+e2x、y2=xex+e-x、y3=xex+e2x-e-x是y"+py'+qy=f(x)的解,则它的通解为( )。
A.( c1y1+c2y2+y3
B.( c1y1+c2y2+e2x-e-x
C.( c1y2+c2y2-(c1+c2)y3
D.( c1(y1-y2)+c2(y1-y3)+ex
设y1=xex+e2x、y2=xex+e-x、y3=xex+e2x-e-x是y"+py'+qy=f(x)的解,则它的通解为( )。
A.( c1y1+c2y2+y3
B.( c1y1+c2y2+e2x-e-x
C.( c1y2+c2y2-(c1+c2)y3
D.( c1(y1-y2)+c2(y1-y3)+ex