Hi everybody,

We consider the following differential equation:

is a solution to this equation E

1)-I must deduct the solutions of the equation (E)

I know that the solutions are:

But how to determine and ??

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- Feb 22nd 2010, 03:33 PMlehderEquation
Hi everybody,

We consider the following differential equation:

is a solution to this equation E

1)-I must deduct the solutions of the equation (E)

I know that the solutions are:

But how to determine and ?? - Feb 22nd 2010, 04:39 PMJester
- Feb 23rd 2010, 12:44 AMchisigma
The 'incomplete' DE is...

(1)

... and its 'characteristic equation' is...

(2)

... the solution of which are , so that the general integral of the (1) is...

(3)

... that is*different*from the solution of the starting post.

Now a particular solution of the 'complete' DE...

(4)

... You can verify is ...

(5)

... so that the general integral of (4) is...

(6)

Kind regards