|May22-09, 03:49 PM||#1|
I have question about terminology for differential equations.
Let's say that I have x, which is a function of t and p. p is also a function of t.
So x(t, p(t)) is my function.
Let's say that I take derivative of x with respect to, which will give me:
xt + xppt
In the above expression, what are xt pt are called? I mean terminology vise, if I want to make sensitivity analysis for the impact of t on x, t impacts x through it's own partial derivative, and through pt .
Would I say direct effect through (xt) vs. indirect effect through (pt).
Would it be "first order derivative" with respect to t through xt and "second order derivative" with respect to t through pt?
Would it be "first level derivative" with respect to t through xt and "second level derivative" with respect to t through pt?
Or would it be called something entirely different?
Thanking you in advance for all your help
|partial derivatives, terminology|
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