Find the interval of convergence for the solution of the differential equation $$3 y ^ { tt } - x y ^ { t } - y = 0$$
A) $[ 3 , \infty )$
B) $[ 0 , \infty )$
C) $( 0 , \infty )$
D) $( - 3 , \infty )$
E) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The given differential equation does not explicitly depend on the variable $x$, which means its solution is not restricted by any specific interval of $x$. Therefore, the interval of convergence for the solution is $( - \infty , \infty )$, indicating that the solution is valid for all real numbers.

Find the Interval of Convergence for the Solution of the Differential