**PLEASE don't solve this, I just want to know if my process is correct. Thanks!

Which of the following functions are solutions of the differential equation:

?

a)

b)

c)

d)

e)

Just want to make sure I'm doing this correctly.

First, I get y'' of each of these. Plug y'' & y into the DE and simplify without moving anything to different sides of the equation. Then if whatever is on the left ends up = sin(x) then it IS a solution. Is this the right way to do this?

Thanks!