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The main question is to solve THIS 2nd ODE non homogenous equation
by green's function.
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Please help answer the 5 parts of this 1 question. Question 6 -2a is a solution to the following ODE:/" -2/-8y 0. Use Reduction of Order to find a y1 2nd linearly independent solution. [Select] Step 1: Let y- Select] [Se ue(-2x) Then y e-2x) Step 2: Substitu ue-8x) simplify to get [Select e-8x) Step 3: Reduce Step 4: Solve the equation for w. (Select] Step 5: Solve for u. Step 6. Identify the two linearly independent solutions e ae...
Hello These are a math problems that need to solve by MATLAB as code Thank you ! Initial Value Problem #1: Consider the following first order ODE: dy-p-3 from to 2.2 with y() I (a) Solve with Euler's explicit method using h04. (b) Solve with the midpoint method using h 0.4. (c) Solve with the classical fourth-order Runge-Kutta method using 0.4 analytical solution of the ODE is,·? solution and the numerical solution at the points where the numerical solution is...
using matlab thank you 3 MARKS QUESTION 3 Background The van der Pol equation is a 2nd-order ODE that describes self-sustaining oscillations in which energy is withdrawn from large oscillations and fed into the small oscillations. This equation typically models electronic circuits containing vacuum tubes. The van der Pol equation is: dt2 dt where y represents the position coordinate, t is time, and u is a damping coefficient The 2nd-order ODE can be solved as a set of 1st-order ODEs,...
please explain the steps as well! it’s imp for me to understand this question. i have attached the table for last part of the question Consider the second order non-homogeneous constant coefficient linear ordinary differ- ential equation for y(x) ору , dy where Q(x) is a given function of r For each of the following choices of Q(x) write down the simplest choice for the particular solution yp(x) of the ODE. Your guess for yp(x) will involve some free parameters...
I need help with question 30d 16. y = 0 (that is, y(x) = 0 for all x, also written y(x) = 0) is a solution of (2) (not of (1) if (x) • o , called the trivial solution 17. The sum of a solution of (1) and a solution of (2) is a solution of (1). 18. The difference of two solutions of (1) is a solution of (2). 19. If yı is a solution of (1), what...
QUESTION 6 please help MATLAB to and you 5. MATLAB can also solve second order equations symbolically using the Symbolic packages. The help page https://www.mathworks.com/help/symbolic/solve-a-single-differential-equation. html#f1-11214 shows examples of how this works. Code this up for the same equation and see if you get the same answer. If you don't (and you probably won't), try simplifying the answer after you get it to see if it matches then. Note: You'll need to define the symbolic function y(t) here in order...
Not sure what other info you need? This is the whole question. There is no other info to give you. Lou Lewis, the president of Lewisville Company, has asked you to give him an analysis of the best use of a warehouse the company owns. a. Lewisville Company is currently leasing the warehouse to another company for $6,800 per month on a year-to-year basis. (Hint: Use the PV function in Excel to calculate, on an after-tax basis, the PV of...
please provide me with full working solution. Any help is appreciated. thank you in advance Consider the diffusion equation, au(x,t u(x,t) Here u(x,t) > 0 is the concentration of some diffusing substance, the spatial variable is x, time is t and D is a constant called the diffusivity with dimensions [LT-11. We will consider the diffusion equation on a finite spatial domain (0<x< 1) and an infinite time horizon (t > 0). To solve the diffusion equation we must include...
need help with this problem. please explain, thank you. 8. Consider a particle encountering a barrier with potential U = U, >0 between x = -a and x = a with incoming energy E > U. a) Write the symbolic wave functions before and after passing through the barrier (i.e., for xs-a and x>a; regions I and III). UN b) Write down the Schrodinger equation for the wave function in the middle (region II) where the potential is non-zero i.e.,...
I need help with question 7, but you need info from question 6 to solve it. The answer to question 6 is (B) Problem 7: Consider again the radar gun and the car described in the preceding problem. Suppose the radar gun sends out only a very short microwave pulse towards the car, in order to measure the car's distance from the gun. For the car's distance stated in the preceding problem, how long will it take for the pulse...