FranzS's latest activity
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Yes, sorry, I replied too much in a hurry during lunch break. :smile: I'll think about your last post thank you
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.The sketch you've drawn would probably not work like the system I described. The real situation is:
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.A mechanism acts to compress the rod/piston. During compression, the pressure inside the two chambers (whose volumes change, i.e. volume...
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Ok then, as I said it doesn't matter, but since you are committed to the problem I'll disclose its exact formulation: $$ \begin{align} &...
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Thanks for your interest. However, I have no freedom on any parameter, they are all predetermined. I see no use in explaining all the...
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.It's not a choice, the constants are dictated by the real problem being analysed. Anyway, I found out that the quadratic power series...
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Sorry, it's my fault. I didn't specify that for ##t=0## the constants combine such that ##x(t=0)=0##.
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Thanks again, but this is exactly my original problem: ##g'(f,t)## diverges for##t=0##.
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Thanks a lot, but I'm actually interested in a closed form (approximate) solution.
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FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.As you may imagine, this differential equation describes the evolution in time of a certain quantity ##f(t)##, and only the initial...
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FFranzS reacted to anuttarasammyak's post in the thread Undergrad Mixed approximation vs. full approximation for a power series expansion with
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RHS of (1) would be g which is made of f and t. -
FFranzS replied to the thread Undergrad Mixed approximation vs. full approximation for a power series expansion.Oh well, it's pretty intricated. I'll write it by steps: $$ \begin{align} & f'(t)= - f(t) \cdot \ \frac{V_1'(t) + c_0 F(t)}{V_1(t)}...
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FFranzS posted the thread Undergrad Mixed approximation vs. full approximation for a power series expansion in Differential Equations.Hi PF, I'm trying to find an approximate solution of a differential equation that can't be solved in exact form. The differential...
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FFranzS replied to the thread Hydraulic Cylinder Held In Place Until Needed.Yes, this is what I thought. Just compare the effects of static forces with dynamic impacts
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FI wasn't sure where to put this one, but I put it here... (I thought about posting in the Favorite Songs thread, but this is a sketch...
