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#1 Help Me ! » integral of e^x » 2010-01-24 07:34:39

henrybrice
Replies: 2

I know that the integral of e^x = e^x, but what do I do if it is e^f(x)?

or for a more concrete example, e^3x or e^-x

I can't just subsitute u, because the du/dx doesn't work out and the whole thing just gets messier...

#2 Re: Help Me ! » equation to the fourth power » 2010-01-07 03:25:48

But the answers I get are one positive and one negative, and x^2 cannot be negative...

#3 Help Me ! » equation to the fourth power » 2010-01-07 01:01:38

henrybrice
Replies: 4

I know how to find the solutions to a quadratic equation, but how can I find the answers to

(x^4) - (x^2) - 1 = 0?

#4 Re: Help Me ! » differential equations » 2009-11-10 18:15:08

Okay! Thanks very much for all the help smile

#5 Re: Help Me ! » differential equations » 2009-11-10 08:33:40

y' is indeed meant to be dy/dx, sorry, my typo!

wouldn't the solution be y=x+c? And in that case wouldn't each one cross the y axis at a different place depending on c?

#6 Help Me ! » differential equations » 2009-11-10 08:10:09

henrybrice
Replies: 4

I have a differential equation xy'-y=0 (or, if you prefer: x(dx/dy)-y=0) and am meant to decide if there is a common point in this family of functions, i.e. is there a point which they all pass through.

How do I go about checking something like this?

(sorry if my terminology is wrong, I am not studying in English!)

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