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adichy
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Homework Statement
Find the general solution to the differential equation
[tex]\frac{d^2y}{dx^2}[/tex] -2*[tex]\frac{dy}{dx}[/tex] +2y =g(x)
where g(x) = −14 cos(2x) − 2 sin(2x)
Homework Equations
The Attempt at a Solution
ive found the homogenous solution which is
y=e^x (ae^ix +be^-ix)
what I am not sure of is for the particular intergral do i do
Csin(2x)+Dcos(2x)+Esin(2x)+Fcos(2x)
or is it just Csin(2x)+Dcos(2x)
please advise
thanks
edit:cant seem to get the latex to come out right basically its d^2y/dx^2 - 2(dy/dx) + 2y=0
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