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New to mathematica: Question about solving differential eqs


Whenever I try to solve differential equations in mathematica, I get a solution with an imaginary part different from the solution in a text book. For example:

DSolve[{y'[x] == y[x] + y[x]^3}, y, x]

will give me a solution that has an imaginary part and not the one I expect here from the text book:

{+(Ce^(-2x)-1)^(-1/2), -(Ce^(-2x)-1)^(-1/2)}

Can anyone give me a tip on how to do this? Also does anyone know of an online tuttorial that goes into details a little bit?


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