Recent content by zass

just trying to get my head around heat capacity here for an experiment; if conducting a reaction in an adiabatic vessel, of which its material has a finite heat capacity, does this mean that if sufficient heat is produced within the vessel (through a chemical reaction), that the adiabatic...

My lecturer keeps simplifying trigonometric integrals in one line such as \int^{2\pi}_{0}sin^{4}(t)dt=\frac{3\pi}{4} and writes pascals triangle next to it. Just wondering what's the link between them? I'm sure it's obvious and easy, I'd just like to have an fast way of dealing with these

ah of course! for some reason i thought that'd just be a constant. finally got a solution that fits :biggrin:

I think i accounted for it Here's my working out, maybe u can see if I've made a mistake: Using the initial assumption I've found u' and u'', then subbed them into the ode: \sum^{inf}_{n=0}(n+r)(n+r-1)anxn+r-2 + \sum^{inf}_{n=0}(n+r)anxn+r-2 + (1/4)\sum^{inf}_{n=0}anxn+r-1 = 0 Simplifying...

Homework Statement Use the Frobenius method, for an expansion about x=0, to find ONE solution of xy''+y'+(1/4)y=0 Homework Equations The Attempt at a Solution starting with an assumption of y1=\sumanxn+r and plugging it into the ODE, i found y=\frac{-1}{4}\suma0xn/(n!)2...