Differential Equation Solutions
- To: mathgroup at yoda.ncsa.uiuc.edu
- Subject: Differential Equation Solutions
- From: uunet!sdsu.edu!stewart (Kris Stewart)
- Date: Sat, 5 May 90 10:18:55 -0700
I'm a new Mathematica user. I was hoping for a strong differential
equation solving facility in Mathematica. I don't know whether I'm
not using it correctly yet, or what. I started with a simple
initial value problem, y''= -y, y(0)=0, y'(0)=1, and I expected the
solution, y(x)=sin(x). Instead the solution was in the equivalent,
but complicated, complex exponential form still. Is there a easy
to simplification package that I haven't found out about? I would
like to attempt more elaborate DEs, but would solutions returned in
as straight forward a form as possible. Please advise. (Note, I
ran this example with Maple and got precisely the results I expected.
Did I purchase the wrong symbolic package?)
In[3]:= DSolve[{y'[x]==w[x],w'[x]==-y[x],y[0]==0,w[0]==1},{y[x],w[x]},x]
-I x 2 I x -I x 2 I x
E (-I + I E ) E (1 + E )
Out[3]= {{y[x] -> ---------------------, w[x] -> ------------------}}
2 2
Thanks, in advance, for any community help I receive.
Kris Stewart stewart at cs.sdsu.edu