Solve the following equation for y. 2u 1 day a² dp² + Ażl Ely = 0,...
Quantum Mechanics Problem 1. (25) Consider an infinite potential well with the following shape: 0 a/4 3al4 a h2 where 4 Using the ground state wavefunction of the original infinite potential well as a trial function, 2πχ trial = 1-sin- find the approximation of the ground state energy for this system with the variational method. (Note, this question is simplified by considering the two components of the Hamiltonian, and V, on their own) b) If we had used the 1st...
Problem 2. For the following system described by the difference equation where y[-1-y[-2] = 0 and x[n] = 2u[n]: a. Draw a block diagram of this system using delays, multipliers, and adders b. Determine the impulse response of the system, h[n], and plot it in MATLAB for n = 0, 1, ,20. (Hint: use Euler's Formula to simplify) c. Is this system stable? d. Determine the initial conditioned repsonse, in. e. Find the total response of the system, yn nln....
1. Solve the following for y(oO-xOho 2. Convolve the following (t) x(t) b) ふ(t) c) e 3 t xlt) 融) a) 3. Find the response of a system to an input of x()-2u(t-10) if h(t)-sin(2t)u(t).
Match the following correctly principal quantum number, n=12.3 Al=0, 1, 2, 3, 4 B. designates size and energy C. s and p electrons outside noble gas or angular momentum quantum number, l-0 to (n-1) pseudo-noble gas core, involved in chemical reactions , p, d, f, g-which numbers? magnetic quantum number, m,--l to+1 spin quantum number m s=+1/2 or-1/2 Pauli Exclusion principle Aufbau Principle Hund's Rule pseudo-noble gas core D, no 2 electrons in an atom have the same 4 quantum...
Match the following correctly principal quantum number, n=12.3 Al=0, 1, 2, 3, 4 B. designates size and energy C. s and p electrons outside noble gas or angular momentum quantum number, l-0 to (n-1) pseudo-noble gas core, involved in chemical reactions , p, d, f, g-which numbers? magnetic quantum number, m,--l to+1 spin quantum number m s=+1/2 or-1/2 Pauli Exclusion principle Aufbau Principle Hund's Rule pseudo-noble gas core D, no 2 electrons in an atom have the same 4 quantum...
Question l: Solve the differential equation--=yr-lly for y(0.5) and y(1), where y(0)=1 (a) Analytically (b) Using Ralston method with h 0.5. (This part is for practice only, no need for dy dx submission) (c) Using Heun's method with h 0.5. Perform 2 corrector iterations per step. (d) Using 4th-order RK method with h = 0.5 (e) Using Non-Self Starting Heun's method with h 0.5 (f) Using Adams 2-step method with h 0.5 (This part is for practice only, no need...
Question 1 Solve the differential equation i -yx2-1.ly for v(0.5) and y(), where y(0) -1 (a) Analytically. (b) Using Ralston method with h 0.5. (This part is for practice only, no need for dy dx submission) (c) Using Heun's method with h 0.5. Perform 2 corrector iterations per step. (d) Using 4h-order RK method with h0.5 (e) Using Non-Self Starting Heun's method with h 0.5 () Using Adams 2-step method with h 0.5 (This part is for practice only, no...
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition: For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
3. Consider the differential equation dy 2x2y dx 0, y 1 In the following questions work to 4 decimal places with the initial conditions x = throughout and give your answer to 3 decimal places, or use exact fractions (a) Use the Euler method to calculate an estimate of the value of y after four steps of length h 0.5 [4 marks] (b) Use the Modified Euler method to calculate an estimate of the value of y after two steps...
please use matlab to solve Problem # 3 P-3 Flow between two paralle plates is described by the following equation dith boundary conditons given as u,-0 & u,-o Calculate the velocity profile using the shooting method for solving the given BVP and compare your results by plotting the numerical solution over the plot of the analytical solution described by: (y-F )where ğr--0000025.H-О75 and h,30 Hint: use 1.75 for the first initial slope, and the other one is 0.45 to 0.5....