Find the interval of convergence for the solution of the differential equation $$y ^ { tt } - 11 x y ^ { t } = 0$$
A) $[ 0 , \infty )$
B) $( - \infty , \infty )$
C) $( - 11 , \infty )$
D) $( 0 , \infty )$
E) $[ 11 , \infty )$

Question

Quizplus · Accepted Answer

The given differential equation does not depend on the interval of $x$, but rather on the behavior of the solution with respect to $t$. Since there are no explicit restrictions on $x$ or $t$ in the equation, the solution can potentially exist for all real numbers, making the interval of convergence $( - \infty , \infty )$.

Find the Interval of Convergence for the Solution of the Differential