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solve ODE help?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72089] solve ODE help?
  • From: "learner" <freephys at gmail.com>
  • Date: Mon, 11 Dec 2006 04:55:23 -0500 (EST)

 Hi, everyone,
 i am new to solve ode in mathematica. i am trying to solve two
odes(not for hw :)).
y'+ytan(x)=sin(2x)

I use: NSolve[{Direvative[1][y][x]+y Tan[x]==Sin[2x]},y,x]

and get reply saying that:
InverseFunction::ifun: Inverse functions are being used. Values may be
lost for multivalued inverses

{{y[x]->cot[x](sin[2x]-y'[x]}} ,
the mathematica did not solve the equation??

Furthermore, I add condition that y==2 when x==0 by saying:

NSolve[{Direvative[1][y][x]+y Tan[x]==Sin[2x],y[0]==2},y,x]

but no help ? why?
thanks


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