Question

If y(t) = 9t⁵ is known to be the solution to the initial value problem y' p(t)y=0, y(1) = y0, what must the function p(t) and the constant y0 be?
a) p(t) = 5t⁴, y0 = 9
b) p(t) = 9t⁵, y0 = 1
c) p(t) = 0, y0 = 9
d) p(t) = 1, y0 = 5