(adsbygoogle = window.adsbygoogle || []).push({}); 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 parametera. Find the relationship between the radiusain 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?

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# Homework Help: Brachistochrone homework problem

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