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Re: Forcing mathematica to output a certain form

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108115] Re: [mg108064] Forcing mathematica to output a certain form
  • From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
  • Date: Mon, 8 Mar 2010 06:17:30 -0500 (EST)

(* This is your equation *)
eq1 = f[t] + g[t]*y'[t] == h[t]*y[t]^2;

(* That is how you would transform it also by hand *)
eq2 = (eq1[[1]] - eq1[[1, 1]])/eq1[[1, 2, 1]];
eq3 = (eq1[[2]] + eq1[[1, 1]])/eq1[[1, 2, 1]];

(* That is the result *)
eqRes = eq2 == eq3
  


\!\(\*SuperscriptBox["y", "\[Prime]",
MultilineFunction->None]\)[t] == (f[t] + h[t] y[t]^2)/g[t]




As a result of an Eliminate function, and subsequent (wrapper)
simplification under some conditions, I am getting a non-linear
differential equation.

It looks like:

f(t)+g(t) y'(t)=h(t) y^2(t)

Is there a way to force mathematica to output this in the way a
differential equation is best written:

y'(t)+h(t)/g(t) y^(t) = -f(t)/g(t)

or

the transposed form with zero on RHS ?

-- 
Alexei Boulbitch, Dr., habil.
Senior Scientist

IEE S.A.
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