Fizaa A.

asked • 08/19/20

select all 2nd order, linear, non-homogeneous ODEs with constant coefficients

From below choices, select all 2nd order, linear, non-homogeneous ODEs with constant coefficients whose correct form of a particular solution is:

LaTeX: y_p = x \cdot (A x + B) \, e^{- 2 \, x}


A.) LaTeX: y^{\prime \prime}\, - \, 4 \, y = (3 x + 5) \cdot e^{- 2 \, x}

B.) LaTeX: y^{\prime \prime}\, -  \, 4 \, y = (3 x^2 - x + 5) \cdot e^{- 2 \, x}

C.) LaTeX: y^{\prime \prime}\, - \, 4 \, y =  x \cdot e^{- 2 \, x}

D.) LaTeX: y^{\prime \prime}\, -  \, 4 \, y = x^2 \cdot e^{- \, 2 \, x}

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