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

$y=7sin(x)+3,y^{\text{'}\text{'}}+y=3$

Find $y^{\text{'}}$ and $y^{\text{'}\text{'}}.$

$y^{\text{'}}=$

$y^{\text{'}\text{'}}=$

Substitute $y$ and $y^{\text{'}\text{'}}$ into the differential equation and simplify.

$y^{\text{'}\text{'}}+y=(,)+(7sin(x)+3)=,+3=3$