a$.$ Find a particular solution to the nonhomogeneous differential equation $y^{\text{'}\text{'}}+3y^{\text{'}}-10y=e^{7x}.$

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b$.$ 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 $c_1$ and $c_2.$

$y_h=$ help $($formulas$)$

c$.$ 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$)$

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Answers Attempt $3$ of $3$

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