(Solved): differential equations a. Find a particular solution to the nonhomogeneous cifferentlal equation y ...

a. Find a particular solution to the nonhomogeneous cifferentlal equation $y^{??}?6y^{?}+9y=e^{3x}$. $y_p=\text{ help (formulas) }$ 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 $c1$ and $c2$. $y_h=$ heip (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbirary constants. $y=$ help (formulas)