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Homework Statement
y''' + y'' - 6y' = 36x
Homework Equations
y'' + y' - 6y =18x^2
The Attempt at a Solution
I've integrated the third order D.E. to get a second order D.E.
Solving the characteristic equation, to find a general solution, I get:
y = c_1exp(-3x) + c_2exp(2x)
However, the answer is given as c_1 + c_2exp(-3x) + c_3exp(2x).
Where is the extra term coming from?