(Steps Shown) Determine if the given function is a solution to the equation y= sin x+x^2,
Question: Determine if the given function is a solution to the equation
\[y=\sin x+{{x}^{2}},\,\,\,\,y''+y={{x}^{2}}+2\]
Deliverable: Word Document 
![[Step-by-Step] Assume that the gravitational force is](/images/solutions/MC-solution-library-36592.jpg "[Step-by-Step] Assume that the gravitational force is constant at")
[Step-by-Step] Assume that the gravitational force is constant at
![[Solution Library] Determine whether the equation is](/images/solutions/MC-solution-library-36593.jpg "[Solution Library] Determine whether the equation is linear or non linear")
[Solution Library] Determine whether the equation is linear or non linear
![[All Steps] A differential equation and a](/images/solutions/MC-solution-library-36594.jpg "[All Steps] A differential equation and a non-trivial solution are")
[All Steps] A differential equation and a non-trivial solution are
![[Solved] Find the general solution to the](/images/solutions/MC-solution-library-36595.jpg "[Solved] Find the general solution to the given differential equation:")
[Solved] Find the general solution to the given differential equation:
Solution: A nonhomogeneous equation and a particular solution
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