Question

Challenge

Answer 1

y(x) is a continuously decreasing function.

Answer 2

it has neither a maxima nor a minima and hence, may be a hyperbola

Answer 3

is that the solution?

Answer 4

no i am telling that the function y is 1/(x+c)

Answer 5

haha
then that must be the solution of your differential equation!!!!

Answer 6

in fact, it is.

Answer 7

your question asks us about the properties of the solution without actually "finding" it.
and that is what I did!

Answer 8

my second guess is also correct! look above.