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Re: Is it possible to solve this differential equation?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg89018] Re: Is it possible to solve this differential equation?
  • From: Narasimham <mathma18 at hotmail.com>
  • Date: Sat, 24 May 2008 03:50:48 -0400 (EDT)
  • References: <g15qst$pgd$1@smc.vnet.net>

On May 23, 12:14 pm, "Wei Wang" <weiw... at baosteel.com> wrote:
> Hi,
>
> Is it possible to solve the following equation?
>
> DSolve[A (Sqrt[B/y[x]] - 1) (1 - Exp[-y[x]/B]^(1/2) == D[y[x], x], =
> y[x], x]
>
> Thanks,
>
> Wei

Result in inverse functions

In[385]:=
DSolve[  { A (Sqrt[B/y[x]] - 1) (1 - Exp[-y[x]/(2 B)]) == y'[x] }, y,
x]

Out[385]=
\!\({{y \[Rule]
        Function[{x}, \(InverseFunction[\[Integral]\_K$3155\%#1\(\( \
\[ExponentialE]\^\(K$3154\/\(2\ B\)\)\ \@K$3154\)\/\(\((\(-1\) + \
\[ExponentialE]\^\(K$3154\/\(2\ B\)\))\)\ \((\@B - \@K$3154)\)\)\) \
\[DifferentialD]K$3154 &]\)[A\ x + C[1]]]}}\)


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