(a) Verify that y p1 3e 2x and y p2 x 2 3x are, respectively, particular solutions of y ' ' 6y ' 5y 9e 2x and y ' ' 6y ' 5y 5x 2 3x 16 (b) Use part (a) to find particular solutions of y ' ' 6y ' 5y 5x 2 3x 16 9e 2x and y ' ' 6y ' 5y 10x 2 6x 32 e 2x

Question: (a) Verify that y p1 = 3e 2x and y p2 = x 2 + 3x are, respectively, particular solutions of y'' - 6y' +

(a) Verify that y_p1 = 3e^2x and y_p2 = x² + 3x are, respectively, particular solutions of y'' - 6y' + 5y = -9e^2x and y'' - 6y' + 5y = 5x² + 3x - 16.

(b) Use part (a) to find particular solutions of y'' - 6y' + 5y = 5x² + 3x - 16 - 9e^2xand y'' - 6y' + 5y = -10x² - 6x + 32 + e^2x.

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a We have y p1 6e 2x and y p1 12e 2x so y p1 6y p1 5y p1 12e 2x 36e 2x 15e 2x 9e ... View full answer

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