[Solution] A non-homogeneous equation and a particular solution are given. Find a general solution for the equation: y''+5y'+6y=6x^2+10x+2+12e^x;
Question: A non-homogeneous equation and a particular solution are given. Find a general solution for the equation:
\[y''+5y'+6y=6{{x}^{2}}+10x+2+12{{e}^{x}};\,\,\,\,{{y}_{p}}\left( x \right)={{e}^{x}}+{{x}^{2}}\]
Deliverable: Word Document 
![[Solution] (a) Find the general solution to](/images/solutions/MC-solution-library-39664.jpg "[Solution] (a) Find the general solution to the non-homogeneous")
[Solution] (a) Find the general solution to the non-homogeneous
(See Steps) Determine L^-1F, where
(Step-by-Step) Solve the given third-order initial value problem
![[Solution Library] Solve the given initial value](/images/solutions/MC-solution-library-39667.jpg "[Solution Library] Solve the given initial value problem using")
[Solution Library] Solve the given initial value problem using
![[Step-by-Step] Use the convolution Theorem to find](/images/solutions/MC-solution-library-39668.jpg "[Step-by-Step] Use the convolution Theorem to find the inverse")
[Step-by-Step] Use the convolution Theorem to find the inverse
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