For each non-homogeneous ODE, find the basis for the corresponding homoge- neous equation. Then, guess the form of the particular function Yp. Don't solve for the undetermined coefficients. (a) y" + 6y/ + 9y = 5xe-3 (b) y" + 9y = 5 cos(3r)

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A: Please see the attachment

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.