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What Is the Form of a Particular Solution of the Following

Question 9

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What is the form of a particular solution of the following nonhomogeneous differential equation?
 What is the form of a particular solution of the following nonhomogeneous differential equation?   All capital letters in the choices represent arbitrary real constants. A)    A+B e^{5 t}   B)    A t^{2}+B t+C+\left(D t^{2}+E t+F\right)  e^{5 t}   C)    \left(A t^{2}+B t+C\right) \left(1+e^{5 t}\right)    D)    A t+B t^{2} e^{5 t}
All capital letters in the choices represent arbitrary real constants.


A) A+Be5t A+B e^{5 t}
B) At2+Bt+C+(Dt2+Et+F) e5t A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{5 t}
C) (At2+Bt+C) (1+e5t) \left(A t^{2}+B t+C\right) \left(1+e^{5 t}\right)
D) At+Bt2e5t A t+B t^{2} e^{5 t}

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