Upgrade subject to access all content

Consider the equation $y'-2y=0$. Which of the following statements are true?

Select ALL that apply.

$y=a_0\sum_{n=0}^{\infty}\frac{2^nx^n}{n!}$ is a power series solution.

$y=a_0\sum_{n=0}^{\infty}\frac{(-2)^nx^n}{n!}$ is a power series solution.

The radius of convergence for any power series solution is infinity.

There exists one series solution such that the radius of convergence is finite.