Thanks, I think the solution is correct. What do you expect? Something
like this?
k1*e^(sqrt(k^2 + 1)*x) + k2*e^(sqrt(k^2 + 1)*x)

I think that it is suffcient to find a function which simplifies your
restult into this form.

Robert.

On 7 kvě, 20:30, Guillaume <desco...@yahoo.fr> wrote:
> Hello,
>
> I want to solve f''/f=k with k in R
>
> sage:  x=var('x')
> sage: f=function('f',x)
> sage: k=var('k')
> sage:  desolve(diff(f(x),x,2)/f(x)==k^2+1,[f,x])
> k1*e^(I*sqrt(-k^2 - 1)*x) + k2*e^(-I*sqrt(-k^2 - 1)*x)
>
> I put k^2+1 since sage would'nt solve even with assume(k>0)
>
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