x = var('x')
y=function('y',x)
DE = diff(y,x,2)+3*diff(y,x)+2*y-4*x^2
print "GS:", desolve(DE, [y,x])
#check for particular solution
yp = 2*x^2 - 6*x + 7
V = diff(yp,x,2)+3*diff(yp,x)+2*yp-4*x^2
if V == 0:
    print "yp = ", yp, "is a particular solution"
else:
    print "yp = ", yp, "is not a particular solution"

SageDays/Kreyszig-2.8-3 (last edited 2010-08-11 11:59:11 by zubinmehta)