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Let's say I have complex equation

$$ i \frac{dx}{dt} = i x+ (-2ig)^{1/2} $$

$i$ is a complex number and $g$ is just some constant

How do I eliminate the $i$?

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    divide both sides by $i$? :)2012-05-12
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    @Zarrax that still leaves us with one $i$ term, doesn't it?2012-05-12
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    You can't. It stays complex equation.2012-05-12
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    You won't eliminate $i$ entirely from the equation, but you'll have $dx/dt - x = $(complex) constant which you can solve using the usual methods, getting a complex-valued solution. There are no real solutions.2012-05-12
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    @axell don't forget to accept an answer if it answers your question! This way you mark your question for others to see as answered.2012-05-13

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