?The great questions which broke /sci/
>>16258199cont'd
>>16258199>>16258200Hold up, just going to bang that into MATLAB and let it do it for me
>>16258199>>16258200Ranjeet, it even tells you explicitly to use the chain rule. What more hints do you need? If you want someone to write a full solution you'll have to offer some rupees as a reward.
>>16258199This is a high school level math question that is dressed up with useless shit like galileo transformstion and relativity
>>16258202>>16258211>>16258216>t. no solution
>>16258199>>16258200>homework thread
>>16258199>>16258200Dude just use Einstein's paper. He literally provides all the steps as this is literally what he did.
now do the same with air waves.
>>16258281No, I'm preparing for a semester so I'm doing the challenge problems in university physics
>>16258199>>16258200>nu/sci/ thinks this is hard/sci/ has fallen
[math] E(x+dx,t)-E(x,t) = E(x'+dx',t'+dt')-E(x,t) = E(x'+dx',t'+dt')-E(x',t'+dt')+E(x',t'+dt')-E(x,t) [/math][math] (E(x+dx,t)-E(x,t))/dx = dE(x,t)/dx = dE(x',t')*dx'/dx*(1/dx') + dE(x',t')*dt'/dx*(1/dt')' [/math]x' = x - vt -> dx'/dx = 1 and dt'/dx = 0[math] dE(x,t)/dx = dE(x',t')/dx' [/math]Do the same for [math] (E(x+dx,t)-E(x,t))/dt, which results in dx'/dt = -v and dt'/dt = 1[math] dE(x,t)/dt = dE(x',t')/dx' - v*dE(x',t')/dt' [/math]You can repeat the above operation again to attain[math] d^2E(x,t)/dt^2 = d^2E(x',t')/dt'^2 - 2v*d^2E(x',t')/dt'dx' + v^2*d^2E(x',t')/dx'^2 [/math][math] d^2E(x,t)/dx^2 = d^2E(x',t')/dx'^2 [/math]Plug it all in to get:[math] d^2E(x',t')/dx'^2-v^2/c^2*d^2E(x',t')/dx'^2+2v/c^2*d^2E(x',t')/dt'dx'-1/c^2 d^2E(x',t')/dt'^2 = 0 [/math]
>>16258199>>16258200Oh boy the schizos aren't gonna like this
