Solve the wave equation using d'Alembert's method (See attached file for full problem description)
I'm have so much trouble understanding the wave equations. The book I'm using does a terrible job at explaining this section and the example are horrible. I really would appreciate if someone could take the time and work this example problem step by step so I can get a better understanding of this. (See attached file for full ...continues
Can someone please solve this 1-D heat equation. The book I'm using doesn't explain the examples. I need all steps Please!!!! (See attached file for full problem description)
1. When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i). Questi ...continues
Background Information: A simple pendulum, such as a rock hanging from a piece of string or the inside of a grandfather clock, consists of a mass (the rock) and a support (the piece of string). When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth ...continues
Boundary value problem for Laplace's equation (Dirichlet Problem)
Boundary value problem for Laplace's equation (Dirichlet Problem). See attached file for full problem description.
1. find the eigenvalues and eigenfunctions of the boundary- value problem y''+λ y = 0 , y(0) = 0 , y(π /4) = 0 ( n = pie) 2. find the eigenvalues and eigenfunctions of the boundary- value problem y''+(λ+1) y = 0 , y'(0) = 0 , y'(1) = 0 3. find the sqaure norm of the following problem along with ...continues
number 18. please dont do the CAS nor the plot
Book:- Differential Equations, by Dennis G Zill, page ,number 17 or se attachment below, thanks.
1. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem. x2y'' + xy' + λ y = 0, y(1) = 0, y(5) = 0. (b) Put the differential equation in self -adjoint form. (c) Give an orthogonality relation. 2. Hermite's differential equation y'' -2xy' + 2ny = , n = ...continues
