Finding the Second Order Linear Homogeneous Equation from the given Fundamental Pair

The problem instructions read like so:

Show that the given functions are linearly independent on the interval I and ﬁnd

a second-order linear homogeneous equation having the pair as a fundamental set of

solutions.

$\displaystyle y_1=x$

$\displaystyle y_2=x^2$

$\displaystyle I=(\infty,-\infty)$

I'm able to prove that they are linearly independent easily by simply using the Wronskian Matrix to get

$\displaystyle W(x)=3x^3\neq0\in I$

However, I don't know how to find the equation based off of what I'm given.

I know the answer to the question (it's in the book) so I will post it for reference of what I'm looking for.

$\displaystyle x^2 y\prime\prime - 2x y\prime +2y = 0$

please show me the method to find this equation based off of the fundamental set given!