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Multivariable Calculus

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Using the Method of Undetermined Coefficients

MVCALC-GWU0UE

Using the Method of Undetermined Coefficients, determine the particular solution to the differential equation:

$$y'' - 2y' + 3y = t^2$$

A

$y_p(t) = \cfrac{t^2}{3} + \cfrac{4t}{9} + \cfrac{2}{27}$

B

$y_p(t) = t^2 + t + 1$

C

$y_p(t) = t^2$

D

$y_p(t) = e^t\cos t\sqrt{2} + e^t\sin t\sqrt{2}$

E

None of the Above