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Consider the equation $x^2y''-6xy'+10y=0$. Which of the following statements are true?
The characteristic equation is $x^2r^2-6xr+10=0$.
$x=0$ is a singular point.
$x^2$ and $x^5$ are two solution but their Wronskian at $x=0$ is zero, so $x^2$ and $x^5$ are linearly dependent.
This is a nonlinear equation.