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
All math, at its core, is about predicting behavior. If I know [thing 1], then I know [thing 2] because of [behavior].
Differential equations deal with the relationship of [rate of change] of [behavior]. A lot of the times this is dependent on time, how fast is something is running out money, etc.
It doesn’t have to be time, it can be rate of change of x with respect to y. One example is how quickly elevation of a hill changes
Latest Answers