A non-homogeneous linear differential equation is given. y'' − y' = 2+ex (a) Find the lowest order differential operator that annihilates the function  2+ex . (b) Find the general solution  yc  of the homogeneous version of this differential equation. (c) Find a particular solution,  yp  using the method of undetermined coefficients. (d) Write the general solution of this equation.

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Q: (x+2)y" - y' - (x + 3) y = 0,

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Q: (x + 2)y" - y - (x + 3)y = 0,

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