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**Magical** Using the complementary function and particular integral

method, find the solution of the differential equation

a) d^2y/dx^2+3dy/dx+2y=20cos2x

which satifies y(0)=1 and y'(0)=0

b)Briefly

explain how you could check whether your answer is

correct. If you would use technology to help you check, give

details of this

c) The eqaution d^2y/dx^2+6dy/dx+9y=h(x) has a complementary function y=(ax+b)e^-3x

give detail of the particular integral if h(x) were given by

i)h(x)=5x+6

ii)h(x)=5e^-3x

iii)h(x)=5xe^-3x