Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to solve this differential equation?

  1. May 25, 2015 #1
    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.
  2. jcsd
  3. May 25, 2015 #2
    If you have an equation like ##arcsint=a## you can write it ##sina=t## here
    (1/k) arcsin(ks/v0)=t
    then here apply what I did then we get
    then simply s is ;
  4. May 25, 2015 #3
    Thank you. It reminded me of when I solve for theta in some other equations and it rightly should make sense.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: How to solve this differential equation?