Question

Use the method of variation of parameters to find a particular solution to the differential equation

y''+9y'+18y=6e^x
having the form
yp=u1y1+u2y2
In this, (Note that this asks for u'1 and u'2, not u1 and u2!)
y1=
y2=
u'1=
u'2=

Then use your solution to find a solution to the differential equation that satisfies the initial conditions y(0)=0, y'(0)=0.
y=