essay

Verify that yp1 = 3e2x and yp2 = x2 + 3x are, respectively, particular solutions of
y” – 6y’ + 5y = –9e2x

(a) Verify that yp1 = 3e2x and yp2 = x2 + 3x are, respectively, particular solutions of
y” – 6y’ + 5y = –9e2x
and y” – 6y’ + 5y = 5×2 + 3x – 16.
(b) Use part (a) to find particular solutions of
y” – 6y’ + 5y = 5×2 + 3x – 16 – 9e2x

and y” – 6y’ + 5y = –10×2 – 6x + 32 + e2x.

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