Verify that the function satisfies the differential equation. $($A differential equation in $x$ and $y$ is an equation that inv

Function

$y=3x^3-2x+5$

Differential Equation

$-y^{\text{'}\text{'}\text{'}}-x{y}^{\text{'}\text{'}}-9y^{\text{'}}=-99x^2$

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

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

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

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

$$

$$

$$

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