\[y_P(x)=Ax^2+Bx+C\]
\[y'_P=2Ax+B\]
\[y''_P=2A\]
\[ay''+by'+cy=Gx\]
\[2A+(2Ax+B)-2(Ax^2+Bx+C)=x^2\]
I understand all of the above except the \[...=x^2\] part.
Why is G(x)=x^2?

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