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Find a particular solution to the nonhomogeneous differential equation $y^{\,\prime\prime} + 7 y^{\,\prime} - 8 y = e^{3 x}$ .

$y_p =$ help (formulas)

Find the most general solution to the associated homogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbitrary constants, and enter them as c1 and c2.

$y_h =$ help (formulas)

Find the most general solution to the original nonhomogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbitrary constants.

$y =$ help (formulas)