Question 1
Given the differential equation x(dy)/(dx) 5y=0, find m so that y=x^(m) is a solution.
Question 2
For the solution you found for x(dy)/(dx) 5y=0 in question 1 , what are the possible intervals of validity.
Mark all that apply.
(0,\infty )
(-\infty ,0)
(-\infty ,\infty )
[0,\infty )
(-\infty ,0]