Find values of the real constants a, b and c for which x(t) = (at^b − c)^1/2 is a solution of the ODE
x.d2x/dt2 + (dx/dt)^2 = 1
and give the t-interval in which this expression is a solution for those values of the constants. Does anyoneknow how to begin this? =[
i tried finding x'(t), x''(t) and substitute..didnt work..
how would i find a,b,c?thank you!