Determine whether the given function $is$ a solution $to$ the given differential equation.

Question $1$

$y=sinx+x^9,\frac{d^{2}y}{d{x}^2}+y=x^9+72x^7$

Question $2$

The function $y=sinx+x^9$ a solution $to$ the differential equation $\frac{d^{2}y}{d{x}^2}+y=x^9+72x^7,$ because when the second derivative

$is$ substituted for $\frac{d^{2}y}{d{x}^2}$ and $sinx+x^{9}is$ substituted for $y,$ both sides $of$ the differential equation

equivalent.