indicate which are the following options is the subsidiary equation of the problem with initial conditions...

indicate which are the following options is the subsidiary equation of the problem with initial conditions y(0) = 0 and y '(0) = 0

15 y + 8 y ′ + y ″ = U₄(t) + U₈ (t)

Expert Solution

milcah answered 2 years ago

Suppose the initial conditions of the economy are characterized by the following equations. In this problem,...

Suppose the initial conditions of the economy are characterized by the following equations. In this problem, we assume that prices are fixed at 1 (the price index is 100 and when we deflate, we use 1.00) so that nominal wealth equals real wealth. 1) C = a0 + a1 (Y - T) + a2 (WSM) + a3 (WRE) + a4 (CC) + a5 (r) 1’) C = a0 + a1 (Y - 200) + a2 (10,000) + a3 (15,000) +...

When analyzing recursive algorithms, which of the following best describes initial conditions? a) Initial conditions express...

When analyzing recursive algorithms, which of the following best describes initial conditions? a) Initial conditions express the number of times the basic operation executes when the base case is reached. b) Initial conditions represent the condition for the base case of a recursive function c) Initial conditions express the number of times the basic operation runs during the first execution of the function. d) Initial conditions express the complexity of an algorithm

For the wave equation, utt = c2uxx, with the following boundary and initial conditions, u(x, 0)...

For the wave equation, utt = c2uxx, with the following boundary and initial conditions, u(x, 0) = 0 ut(x, 0) = 0.1x(π − x) u(0,t) = u(π,t) = 0 (a) Solve the problem using the separation of variables. (b) Solve the problem using D’Alembert’s solution. Hint: I would suggest doing an odd expansion of ut(x,0) first; the final solution should be exactly like the one in (a).

6. Consider the one dimensional wave equation with boundary conditions and initial conditions: PDE : utt...

6. Consider the one dimensional wave equation with boundary conditions and initial conditions: PDE : utt = c 2 uxx, BC : u(0, t) = u(L, t) = 0, IC : u(x, 0) = f(x), ut(x, 0) = g(x) a) Suppose c = 1, L = 1, f(x) = 180x 2 (1 − x), and g(x) = 0. Using the first 10 terms in the series, plot the solution surface and enough time snapshots to display the dynamics of the...

Consider the following wave equation for u(t, x) with boundary and initial conditions defined for 0...

Consider the following wave equation for u(t, x) with boundary and initial conditions defined for 0 ≤ x ≤ 2 and t ≥ 0. ∂ 2u ∂t2 = 0.01 ∂ 2u ∂x2 (0 ≤ x ≤ 2, t ≥ 0) (1) ∂u ∂x(t, 0) = 0 and ∂u ∂x(t, 2) = 0 (2) u(0, x) = f(x) = x if 0 ≤ x ≤ 1 1 if 1 ≤ x ≤ 2. (a) Compute the coefficients a0, a1, a2, ....

Solve Legendre’s equation for the given initial conditions. (1 — х)у -

Solve Legendre’s equation for the given initial conditions. (1 - x2)y - 2xy + 6y = 0

Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified

Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 2 y[n-1] – 3 y[n-2] = x[n] , with y[0] = -1 and y[1] = 0, x[n] = (-1/2)n u[n-2]. ? Write a MATLAB program to simulate this difference equation. You may try the commands ‘filter’ or ‘filtic’ or create a loop to compute the values recursively. ? Printout and plot the values of the input signal, x[n] and the...

Solve the heat equation (in one dimensional case) for c^2=9, the following boundary and initial conditions:...

Solve the heat equation (in one dimensional case) for c^2=9, the following boundary and initial conditions: u(0,t)=u(2Pie,t)=0 u(x,0)=5sinx = 2sin5x

5. Solve the following differential equation using the given initial conditions (Use convolution and set up the...

5. Solve the following differential equation using the given initial conditions (Use convolution and set up the integral but do not integrate.) y'’ − 2y’ + 2y = 18e−t sin3t; y(0) = 0, y’(0) = 3

Indicate which of the following statements are true regarding fats. Question options: (all that apply) In...

Indicate which of the following statements are true regarding fats. Question options: (all that apply) In a fat the three carboxylic acid moieties have to be identical. A fat containing unsaturated fatty acids will have a lower melting point, and will usually be an oil. A triglyceride can be either solid or liquid. A fat is a triglyceride, which is a triester of glycerol with three carboxylic acids.

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