Few days ago I started my self study of the Concepts in Thermal Physics 2nd Ed by Blundell . The book has exercises but no results and without the correct answers , the exercises have very low value for me ( being a self student). Is there available a solution book with answers?
Or can you...
Consider the differential equation
$$y''+ay'+by=0$$
We have analytical solutions for this equation.
There are three cases to consider based on the discriminant of the characteristic polynomial associated with the equation.
$$\Delta=a^2-4b$$
I just want to discuss the case where $$\Delta...
From Griffiths 3rd edition quantum pg 45
The bottom two lines. Why can the general solution be expressed as that sum of separable solutions? Griffith doesn't seem to explain this step. What am I missing? Thank you.
Let's denote ##\sqrt[3] r =t##. The three expressions above can be written as $$x_1=2t \cos \frac {\phi} 3, x_2=t (-\cos \frac {\phi} 3 -\sin \frac {\phi} 3), x_3=t (-\cos \frac {\phi} 3 +\sin \frac {\phi} 3)$$ The Vieta's formulae for the given equation are $$x_1+x_2+x_3=0$$ $$x_1 x_2+ x_2 x_3...
I'm currently revisiting Susskind's GR series, with the intent on hosting a weekly group "watch and work" "party" at the uni I work at. The free lectures are great and I'm glad to have them. However, I think they could be supplemented with some problems and solutions, particularly ones that...
I am a retired Tech who needs find better solutions for my everyday projects (my oldest book = CRC Handbook of Chemistry and Physics 52nd edition) . Presently - understanding heat transfer , water vapour mobility , air movement due to Temp and relative humidity. Too many variables , need help.
For a linear nth order differential equation with constant coefficients, the general solution can be expressed as a linear combination of n linearly independent solutions.
Fine...
By finding n linearly independent solutions, we are essentially covering all the necessary components to form the...
All simple harmonic motion must satisfy
$$\frac{d^2s}{dt^2}=-k^2s$$
for a positive value k.
The most well known solution is the sinusoidal one
$$ s=Acos/sin(\omega t + \delta)$$
A is amplitude, ##\omega##is related to frequency and ##\delta## is phase displacement.
My lecturer said that there...
For this,
I am trying to find solutions, however, I think I am getting a strange result that I am not too sure how to intercept.
I first multiply the first equation by 2 to get ##2x_1 - 8x_3 = 4## and then I add it to the second equation below to get ##0 = 1##. I think this means that there...