1. use the parametric equations of a cycloid ( x=a(t-sint), and y=a(1-cost) ) to show that y=y(x) is the solution of the differential equation for any parameter a. Find the relationship between the radius a in the parametric equations and the constant C in y(1+y`2)=C. 2. Solve the equation y(1+y`2)=C with the initial condition y(0)=0. Express rather x as the function of y. what is the interpretation of the constant C in terms of a cycloid. I need help starting the first question. In #2, im stuck at 1+y`2= C/y. i know your not supposed to subtract 1 to either side, so how am i supposed to isolate y` by itself?