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

Out=
\!\({{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]]}}\)

```

• Prev by Date: NIntegrate in NDSolve?
• Next by Date: Numbering weeks for the years of this century. An easy problem?
• Previous by thread: Re: Is it possible to solve this differential equation?
• Next by thread: Re: Is it possible to solve this differential equation?