plz show all steps 5. (12.5 pts) Solve the Laplacian V2V(x,y) 0 for the following geometry,...
Plz solve Part (B) & Part (C) with all the detailed clear steps and bcz I don't understand them at all i need it in 4-8 hrs plz with confident sol EXERCISES 5.5 5.5.1. A Sturm-Liouville eigenvalue problem is called self-adjoint if b dv dx du dac = 0 р u a because then SuL(v) - VL(u)] da = 0 for any two functions u and v satisfying the boundary conditions. Show that the following yield self-adjoint problems: (a) 7(0)...
plz show all steps Problem 2. (20 points) For the circuit shown below, 5v 102 15 VO S150 VS22 E 200 S40 2 a) Find the voltage v using Nodal Analysis; b) Find the power associated with the 20 N resistor. (Note: the dependent source is 5*v, not 5 volts!).
5. Consider a long rectangular "gutter" of length a in the x direction and infi- nite height in the y direction. The gutter is infinitely long in the z direction, so the potential V inside the gutter only depends on x andy. The left (x-0,y), and right (r- a,y) sides of the gutter are grounded so that the potential V(x,y) is zero on those surfaces. The bottom surface of the gutter is kept fixed at a potential given by V(r,y-0)-...
answer asap plz clac 3 show steps 4. Evaluate: Ss 6x5exy dR where R = {(x, y): 0 < x < 2, 0 < y< 2} 4. Evaluate: Ss 6x5exy dR where R = {(x, y): 0
Please show all the steps of these questions. Solve the differential equation y' + y cos x = { sin 2x dy V1 - y2 Solve the initial value problem y(e) = dx x In (x) 1 = V2
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
9. Solve - cos(x) for 0 <x < 27, t > 0 ax2 at2 y(0, t) y(27, t) = 0 for t 0 y(x, 0) y(x.0)= 0 for 0 <x < 27. at Graph the fortieth partial sum for some values of the time. 11. Solve the telegraph equation au A Bu= c2- at ax2 at2 for 0 x < L, t > 0. A and B are positive constants The boundary conditions are u(0, t) u(L, t)=0 for t...
This is PDE problem. Please show all steps in detail with neat handwriting. Problem . Consider the function a) Find the full Fourier Series of F(x) a(0, y, t) = u(a, y, t) 0 u(z, 0, t ) = u(z, b, l) = 0 u(z,y,0) = f(z,y), u(x, y,0)-g(x,y), 0<y< b,t0 a) b) Solve the initial-boundary value problem for 2D wave equation. What is the physical interpretation of these boundary conditions
please solve #2 Solve the following problems subject to the given boundary conditions. Show the formulas for any arbitrary constants (Ao, An, Bn), but you do not need to actually calculate them tu a(0. t)=0. u(1, t) = 5 u(z,0-82-1 2 0< x<2, t0 u(0, t) = 0, u(2. t) = 0 a(x, 0) 0, tr(r,0) = 0 3 ー+-=-10, 0
4. (20 pts) Suppose the boundary-value problem y" – y=x, 0 < x < 1; y(0) = y'(1) = 0 Let h = 1/n, X; = jh, where j = 0,1,..., n and u; y(x;). Consider two "exterior" mesh points 2-1 = -h and 2n+1 = 1+h. Write out an 0(ha) approximate linear tridiagonal system for {u}. Hint: Let u-1 = y(x-1) = y(-h) and Un+1 = y(2n+1) = y(1 + h). Then using f(a+h) – f(a – h). f'(a)...