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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...
But the answers I get are one positive and one negative, and x^2 cannot be negative...
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?
Okay! Thanks very much for all the help
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?
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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