Recent content by olechka722
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Undergrad How to Find S as a Function of t in Differential Equations?
That is pretty much what I thought. Thank you! I am going to just do numerical integration.- olechka722
- Post #3
- Forum: Calculus
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Undergrad How to Find S as a Function of t in Differential Equations?
Hi, it has been a little while since I have actually had a course in this, and my math memory is terrible. I would like to find S as a function of t, when the differential relationship is the following: dS/dt= A- (B*S/(S+C))*(D-E*t) where all of the other letters are just constants. What...- olechka722
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- Integration Model
- Replies: 2
- Forum: Calculus
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Graduate Deriving Entropy Formula: Thermo Solution
Hello, I am trying to derive a formula for entropy. I have: dS= Cv/T dT + R/(V-b) dV and want to get: S= Cv*ln(T) + R*ln(V-b) + constant. Math rules seem to say i can't just integrate this up even though it looks obvious since i have two different d's on the right hand side. Maybe...- olechka722
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- Derivation Thermo
- Replies: 3
- Forum: Thermodynamics
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Graduate Tricky Differentiation of Derivative
I am having trouble remembering the correct approach here. This is in regards to deriving a governing equation for conservation of momentum for a non-Newtonian fluid. I thought about posting in engineering, but it is more of a calculus question: d/dx(((-dv/dx)^(m-1))*(dv/dx)) where we are...- olechka722
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- Derivative Differentiation
- Replies: 1
- Forum: Calculus
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Graduate How is this Statistics Summation Simplified?
Thanks so much! That really clears things up.- olechka722
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How is this Statistics Summation Simplified?
This equation comes out of deriving the canonical partition function for some system. However, the question is more math based. I am having trouble understanding the simplification that was performed in the text: ∑ from N=0 to M of: (M!exp((M-2N)a))/(N!(M-N)!) supposedly becomes...- olechka722
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- Statistics Summation
- Replies: 2
- Forum: Set Theory, Logic, Probability, Statistics