I would like see how these problems are solved. Thank you. 5. Establish the orthogonality of the trigonomietric system over the interval [-п , п]. Answer: This is the special case p = п of exercise 6(b). 6(b) Trigonomertic systems of arbitrary period. Let p > 0 and consider the trigonometric syste ...continues
See attached question. I think the answer is alpha < n/p - m, but I would like a detailed explanation.
1. solve X*U_x + Y*U_y =0 answer is suppose to be U(X,Y)=f(Y/X) 2. solve U_x + U_y =1 answer unknown
See attached problem.
Please see attached problem.
Please help me skech the graphs. I know how to sketch a graph of cosx, but other then that, I'm confused and I don't have a math program to just plug in the numbers to see what it looks like...Please see attached. Thank you!
For a solution of the wave equation with p=T=C=1 the energy density is defined as e=1/2 (U_t ^2 + U_x ^2) and the momentum density as p=U_t*U_x Show that de/dt=dp/dx and dp/dt=de/dx Show that both e(x,t) and p(x,t) also satisfy the wave equation http://tosio.math.toronto.edu/pdewiki/index.php/2006APM346Midterm1 It's ...continues
I would like to see how these problems are solved. Thank you.
Show that S(x,y,t)=S(x,t)S(y,t) satisfies the diffusion equation. S_t = k(S_xx + S_yy)
PDE's - Solve the wave equation
I would like to see how these problems are solved. Thanks. 3. Solve the wave equation, ∂2u/∂t2 = c2(∂2u/∂x) -∞ < x < ∞ With initial conditions, u(x,0) = (1/x2+1)sin(x), and ∂u/∂t(x,0) = x/(x2+1) 4. Suppose that f is a 2п-periodic differentiable function with Fo ...continues
