It has been a while since I was involved with my differential equations. I am a mech student. I was trying out a sample problem from the dynamics book and came upon this equation. k = some constant of proportionality for a spring pushing back a spring mounted slider. (1/k) arcsin(ks/v_0) = t --> becomes s = (v_0/k) sin(kt) which is an expression for displacement. I want to know how it is solved for displacement s. Thank you.