According to checkodesol(paraChute, solution), the solution is correct.

Aaron Meurer

On Tue, Jun 28, 2016 at 2:13 AM, Dan Lewis <[email protected]> wrote:
> Hi folks,
>
> Looks like sympy/dsolve produces an incorrect solution to an ODE:
>
> from sympy import *
>
> mass, g, b, t = symbols('mass g b t')
>
> v, x = symbols('v x', cls=Function)
>
> paraChute = mass*v(t).diff(t)-mass*g+b*(v(t))**2
>
> solution = dsolve(paraChute,v(t),hint='lie_group')
>
> solution
>
> Out[1]:
>
> Eq(v(t), sqrt(g)*sqrt(mass)/(sqrt(b)*tanh(sqrt(b)*sqrt(g)*(C1*mass +
> t)/sqrt(mass))))
>
>
> Sorry in advance if I'm doing something silly - the solution shouldn't be
> 1/tanh.  Should be tanh.
>
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