Hi, I am working on a calculus of variations problem and have a general question.
Specifically, I was wondering about what kind of constraint functions are possible.
I have a constraint of the form:
f(x)x - \int_{x_0}^x f(z) dz \leq K
If I had a constraint that just depends on x or...
What if we apply the methodology to two examples, 100 and 101?
I believe that for the case of 100, we should consider:
100 - 10 = 90
and then 9 + 0 + 0 = 9
and therefore the answer is 900
As for the case of 101, we should consider:
101 - 11 = 90
and then 90 + 0 = 9
and therefore...
(Moderator's note: thread moved from "Differential Equations")
Hi, I am trying to solve a differential equation which is almost separable, but not quite.
Specifically:
1 + \frac{dy}{dx} = f(x) g(y)
Is there any way to approach this, or are additional constraints needed? In the setting in...