10.(Straightforward) Find the general solution of these constant coeffi- cient linear inhomogeneous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general so- lution to the homogeneous problem, and a particular solution to the inhomogeneous problem.) Here K is an arbitrary constant. (a) y" + 4y = 4K. (b) y" + y' – 6y = 6Kx. 12Κα? (c) y" (d) y" – y' – y = exp(Kx). |

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