Compute $y^{\text{'}}$ and $y^{\text{'}\text{'}}.$ The symbols $C_1$ and $C_2$ represent constants.

$y=c_1{e}^x+c_{2}x{e}^x$

$y^{\text{'}}(x)=$

$y^{\text{'}\text{'}}(x)=$

Combine these derivatives with $y$ as a linear second$-$order differential equation that is free of the symbols $C_1$ and $C_2$ and has the form $F(y,y^{\text{'}},y^{\text{'}\text{'}})=0.($Use $yp$ for $y^{\text{'}}$ and $ypp$ for $y^{\text{'}\text{'}}.)$

$=0$