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Hi
I'm trying to solve this attached differential equation in mathcad... I'm running into an issue saying there is not enough initial conditions.
Please help with this issue. I was also unable to use laplace to solve this one too. By the way the F(t) is a periodic function from 0 to t5 where t5 is one of the unknowns and must be solved for.
Thanks
Prashanth Rajendran
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Luc
Some further elaboration:
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Luc
I assume that you want a real (not imaginary or complex) solution.
Note that for acos(x) it holds that the domain of x is [-1...1] and the resulting range of acos(x) is [0...pi].
With theta(t)=pi-acos(t), this means that the range of theta(t) is also [0...pi] and you will never find a theta value of 2*pi.
Your mathematical model (the original differential equation) is incorrect or (some of) your boundary conditions are impossible.
Please review both and correct where necessary before attempting to solve.
Success!
Luc
The acos function gives to solutions. I believe that is the issue.
In that case, I have to include a new variable to set for theta(t)=pi, and if theta(t)<pi, use pi-acos(y(t)), if theta(t)>pi, use pi+acos(y(t))...