x = var('x')
y=function('y',x)
DE = diff(y,x,2)-4*diff(y,x)+4*y-exp(x)*cos(x)
print "GS:", desolve(DE, [y,x])
#check for particular solution
yp = -exp(x)*sin(x)/2
V = diff(yp,x,2)-4*diff(yp,x)+4*yp-exp(x)*cos(x)
if V == 0:
    print "yp = ", yp, "is a particular solution"
else:
    print "yp = ", yp, "is not a particular solution"

SageDays/Kreyszig-2.8-6 (last edited 2010-08-11 12:11:34 by zubinmehta)