Please help determine these questions and show complete steps...

(a) If 37y(t) is a solution to the equation y' + p(t) siny =0, then y(t) is also a solution. ALWAYS SOMETIMES NEVER (b) If y(t) = 12 is a solution to the equation y' = f(t, y), then f(2, 4) = 3. ALWAYS SOMETIMES NEVER (c) If yo is an equilibrium of the equation y' = f(y), then yo is also an equilibrium of the equa- tion y' = sinlef(3) - 1]. ALWAYS SOMETIMES NEVER (d) If the equation y' = f(y) has a sink, then it must have a node. ALWAYS SOMETIMES NEVER (e) If u(t) = cost and v(t) are solutions of the equation y' = f(y), and v(0) = 0, then v() > -1. ALWAYS SOMETIMES NEVER