clearly you are a noob, like it states in you name, he was saying "when" it reaches its maximum displacement. B is the maximum displacement, but it is when nt=pi/2 that bsin(nt) is at its maximum displacement ffs
dv/dt = -0.05v^{3}
dt/dv = 1/-0.05v^{3}
t=10/v^{2}+C=10/v^{2}-1
v^{2}=10/t+1
v=\sqrt{10}/\sqrt{t+1}
x=2\sqrt{10}t
t=\sqrt{10}
left out integrating steps, it this correct?