$$ x'(t) = x(t) + x(f(t))$$
Eventually I'd like to find out how such an equation can be solved, but it doesn't have any format I'm familiar with, so don't even know where to start.
How is such a differential equation called?
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ordinary-differential-equations
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2How complicated is $f$? Do you know it? – 2017-02-25
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0Let's assume $f$ is known and linear in $t$. – 2017-02-25
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0Have you tried specific $f$ and coded this? That may help you get started... – 2017-02-25
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1This is a delay-differential equation or something even more general. ODE methods, theoretical and numerical, do not work as they relay on that the values and derivatives of $x$ in the equation are all taken at the same time/argument. – 2017-02-25
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0@DerekOrr what do you mean 'coded' here? – 2017-02-25
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0@bonifaz picking an $f$ and solving the ODE numerically on MatLab, Mathematica, etc. – 2017-02-25