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Cannot solve Sin and Cosine Waves DEs

Cannot solve Sin and Cosine Waves DEs

Cannot solve Sin and Cosine Waves DEs

(OP)
I got a simple system of two diff. eqs; The functions in play are: z(t)=sin(t) and w(t)=cos(t). Tried to solve the system

Given
   z'(t) = w(t)
   w'(t) = -z'(t)
   with IC:   z'(0)=1    w'(0)=0
S=Odesolve(t,8π,100)

Solution fails... Even tried Rkadapt. Any ideas; (See attached MC file)..
 

RE: Cannot solve Sin and Cosine Waves DEs

If you click on the last equation it says too few initial conditions.  

Tata  

RE: Cannot solve Sin and Cosine Waves DEs

(OP)
Thank Occupant. This is exactly what I wanted. I realized what my my mistake was. Thanks a lot. If you like, take a look at my other question about the nonlinear DE.  

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