Recent content by clynne21

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    Linear first-order diffeq system for radioactive decay chain

    Haha- no, that's cake LOL It's really more this term ∫dt'Rx(t')eλx(t'-t) (from 0 to t) that confuses me- I'm not sure where the primes came from and what it is indicating. It was the first step given for a solution. It seemed odd since the αt should be, like you said, extremely simple.
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    Linear first-order diffeq system for radioactive decay chain

    Homework Statement Given the followin[Sg decay chain- X→Y→Z Solve for Nx(t), Ny(t), Nz(t) for the case of Rx(t)=\alphat and assuming Ny(t)=Nz(t)=0 Homework Equations dNx(t)/dt = -\lambdaxNx(t) + Rx(t) dNy(t)/dt = -\lambdayNy(t) +\lambdaxNx(t) dNz(t)/dt = -\lambdazNz(t) +\lambdayNy(t) The...
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    Spontaneous fission rate to half-life equivalence

    thank you- knew it had to be fairly simple- just overthinking it!
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    Spontaneous fission rate to half-life equivalence

    Homework Statement The spontaneous fission rate for U-238 is roughly 1 fission per gram per 100 seconds. Show that this rate is the equivalent to a half-life for spontaneous fission of ~5.5x1015 years Homework Equations none that I can find in my book The Attempt at a Solution I'm...
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    Calculating the Number of Collisions Required for Neutron Moderation

    Hi tiny-tim! Awesome- yes I absolutely can take it from there- thank you so much! Just have a seriously tired brain and couldn't wrap it around making that easy :-)
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    Calculating the Number of Collisions Required for Neutron Moderation

    Homework Statement How many collisions will be necessary to slow a neutron down from 14.1 MeV to thermal energy (0.0253 eV)? A=24 Homework Equations E'=[(A-1)/(A+1)]^2 x E The Attempt at a Solution The calculation is not an issue- I understand how to use the equation and what...
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    Two ODE problems not sure about

    That's where I messed up! Was very tired last night LOL. Thanks for straightening me out!
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    Two ODE problems not sure about

    Got through the first question fine and did take the second derivative of the equation, but once I do that all variables are codependent on each other so setting it equal to zero makes everything zero. d2P/dt2= -2Pr/K so I'm kind of at a loss of how to make that a maximum. I must be...
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    Two ODE problems not sure about

    Homework Statement consider a lake that is stocked with walleye pike and that the pike population is governed by P'=.1P(1-P/10) where time is measured in days and P is thousands of fish. Suppose that fishing is started in this lake and that 100 fish are removed daily. modify the logistic model...