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Topic: differential
Replies: 1   Last Post: Feb 8, 2013 3:13 PM

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Nasser Abbasi

Posts: 5,645
Registered: 2/7/05
Re: differential
Posted: Feb 8, 2013 3:13 PM
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On 2/8/2013 1:08 PM, mehdi delkhosh wrote:
> if
> h(x)=A*f/(g*g*diff(f))
> and
> k(x)=A*diff(f)/diff(g)
>
> where A is CONSTANT and f,g two functions that are Arbitrary (indeterminate).
>
> Then
> k-diff(h)+diff(diff(h))
> what?
>



-(a/g[x]^2)+(a f'[x])/g'[x]+(2 a f[x] g'[x])/(g[x]^3 f'[x])+
(a f[x] f''[x])/(g[x]^2 f'[x]^2)+(a f''[x])/(g[x]^2 f'[x])+
2 a f'[x] (-((2 g'[x])/(g[x]^3 f'[x]))-f''[x]/(g[x]^2 f'[x]^2))+
a f[x] ((4 g'[x] f''[x])/(g[x]^3 f'[x]^2)+
((6 g'[x]^2)/g[x]^4-(2 g''[x])/g[x]^3)/f'[x]+((2 f''[x]^2)/f'[x]^3-
(f^(3))[x]/f'[x]^2)/g[x]^2)




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