1
$\begingroup$

I am trying to solve a system of differential equations.

eqn = {
y''[t] == (39/10000 + 
  58/10000/(1 + 
     Exp[(Sqrt[(Cos[10*2*Pi/360])^2 + y'[t]^2 + z'[t]^2] - 35)/
       5]))*Sqrt[(Cos[10*2*Pi/360])^2 + y'[t]^2 + z'[t]^2]*y'[t], 
z''[t] == (39/10000 + 
   58/10000/(1 + 
      Exp[(Sqrt[(Cos[10*2*Pi/360])^2 + y'[t]^2 + z'[t]^2] - 35)/
        5]))*Sqrt[(Cos[10*2*Pi/360])^2 + y'[t]^2 + z'[t]^2]*
 z'[t] + 41/100000 *(30*(Cos[10*2*Pi/360])), y'[0] == 0, 
z'[0] == 40*Sin[10*2*Pi/360], y[0] == 0, z[0] == 3/2}

sol = DSolve[eqn, {y[t], z[t]}, t]

However this does not give me any solution. Only oupout is my input. I cannot seem to figure out what I did wrong...

Any ideas?

Thank you very much!

$\endgroup$
  • $\begingroup$ Have you tried solving it with NDSolve ? $\endgroup$ – Sektor Jun 30 '15 at 15:03
  • $\begingroup$ I have to get an analytical solution :/ $\endgroup$ – 13Thison13 Jun 30 '15 at 15:08
  • 1
    $\begingroup$ I believe Sektor was hinting that an analytical solution to your non-linear ODE probably does not exist. Perhaps math.stackexchange.com could help you determine if one does. $\endgroup$ – Ian Jun 30 '15 at 17:39

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.