Differentiating results in us knowing how large y-output changes compared to qan amount of x-input in the function f(x)=y.
Integrating is, uh, just “the summation” of all y-outputs as a result of x-inputs.
Now, what does a DE tell me? And what does solving it do?
In: Mathematics
It is just like an algebraic equation. But your unknown value also depends how fast it is changing (or vise versa). For example; you put x amount of rabbits in a confined space. They keep breeding. You wanto to know the number of rabbits in week, say, 10. The number of rabbits that exist on any day depends on how fast the number of rabbits change. While the amount of rabbits increase, the rate of increase also changes (more rabbits means more breeding).
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