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Verify that the function satisfies the differential equation. (A differential equation in $x$ and $y$ is an equation that involves $x,y$, and derivatives of $y$.) Function Differential Equation $y=5sin(x)+8y_{′′}+y=8$ Find $y_{′}$ and $y_{′′}$ $y_{n}=$ Substitute $y$ and $y_{′′}$ into the differential equation and simplify. $y_{2}+y=(2)+(5sin(x)+8)=+8=8$

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