6. For each of the following linear nonhomogeneous differential equations, write an appropriate form Yp(x) = A₁ f₁(x) + A₂ƒ2(1) ++ Anfn (1) in which a particular solution yp may be found. Remember to check for multiplicity. You do not need to solve for the coefficients, you only need to report the form of yp- a) y" - 2y + y = e²r - e³r b) y"+y=2 sin x + sin 2x c) y" - 4y = 6x+e=4²

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