Hi!

I have some problems with solving the following differential equation:

where the unknown is

It is probably not that difficult but I am unable to find any examples involving only one unknown.

Any help would be appreciated!

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- Nov 2nd 2010, 09:58 AMmasterkDifferential equations with one variable
Hi!

I have some problems with solving the following differential equation:

where the unknown is

It is probably not that difficult but I am unable to find any examples involving only one unknown.

Any help would be appreciated! - Nov 2nd 2010, 10:03 AMUnknown008
Uh...

? - Nov 2nd 2010, 02:45 PMHallsofIvy
I would be very surprised at that! In every differential equations text book I have ever seen, MOST of the problems in at least the first several chapters have only one unknown!

If, for example, you had an equation that said

that is an equation that has "only one unknown"- x. The 'independent variable', t, is not an unknown. And, in fact, since you say that "the unknown is x(t)", the equation

is exactly the same as the equation

.

As Unknown008 said, that is a separable equation. Separate the variables and integrate.