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
Sometimes knowing how fast something is changing is of interest. Here is one example.
You can have an equation for position, where an object is in space.
If you take the derivative of that equation, you get an equation of how fast that object is moving at any given moment in time.
If you take the the derative of that, you have an equation of how that object is accelerating.
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