Answer
True
Work Step by Step
$$\frac{d(Ce^x)}{dx}=Ce^x$$
So, no matter how many times we differentiate this function we get the original function back.
Therefore, $$\frac{d^n(Ce^x)}{dx^n}=Ce^x$$
And hence $Ce^x$ is a solution of the equation
$$\frac{d^ny}{dx^n}=y$$