Questions 2.13 N=2 Use Laplace Transformation to solve the differential equation y" +4M/' +4M’y=2e-24-(M –sinMx) v(o)=1 and y'(o)=-4M Where M=0.1N N:Student No. (رقم الطالب) f إضافة ملف
9 نقاط Find the particular solution to the : differential equation y" +('+ x)cot x = 0 when y = 1 and - = 0 ع إضافة ملف
(1 point) Transform the differential equation -87 5y" +42y" - 5y' - 42y = 2e y(0) = 0 VO) = 0 y"(0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)) Therefore 1+ 3+1 *+8 Taking the inverse Laplace transform we get y
(1 point) Consider the initial value problem y" + 4y = 81, (0) = 2, 7(0) = 8 a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve your equation for Y(). Y(s) 1900) c. Take the inverse...
Use the Laplace Transform to solve the IVP y" - y = 2e t, y(0) = 0, y'(0) = 1
(1 point) Use the Laplace transform to solve the following initial value problem: "7-0 (0)7, (0)-2 First, using Y for the Laplace transform of ), .e.Y Cu)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) and write the above answer in its partial fraction decomposition, y(s)-- + where a < b Now by inverting the transform, find y(t)
For a particle of mass m, consider a Morse potential of V. V(x) cosh (Bx)' where V> 0 and 8 >0. (a) Illustrate this potential graphically as a function of x. (b) Write the WKB quantization condition: of pladě = (n+ + ) 7, n=0,1,2,3,,.... in terms of the bound state energies En and V(x). What are I'min and Imax in this case, and what is the physical meaning/interpretation of Imin and Imax ? (C) Use WKB methods to determine...
Use Laplace transformation to solve differential equation. *+ 4y = e', y(0) = druge dt - dºg(0)
Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1. Use the Laplace transformation to solve the IVP. y"-6y' + 9y-24-9t, y(0)-2, y' (0)-0 1.
7: Problem 7 Previous Problem List Next (1 point) Solve the differential equation y" + 2/-3y-1+ 2 3 (1), y(0)-2, y (0)--2 using Laplace transforms. The solution is y(t)- and for 0 < t <3 for t > 3 7: Problem 7 Previous Problem List Next (1 point) Solve the differential equation y" + 2/-3y-1+ 2 3 (1), y(0)-2, y (0)--2 using Laplace transforms. The solution is y(t)- and for 0