3 boundary conditions will be required to specify the above differential equation. Because T (x, y, t) , temperature is dependent on x, y and t. Also the equation is a 2 dimensional steady state heat conducyion equation.
D Question 15 5 pts How many boundary conditions do we need to specify for the following differential equation? 1эт...
How many initial conditions (ICs) do we need for solving the two-body equation of motion? Give an example of one set of ICs.
(1 point) Solve the following differential equation with the given boundary conditions -If there are infinitely many solutions, use c for any undetermined constants - If there are no solutions, write No Solution - Write answers as functions of 2 (ie.y=y(2)). y" +9y=0 • A) Boundary conditions: y(0) = 2 • B) Boundary conditions: y(0) = 2 y= No Solution • C) Boundary conditions: y(0) = 2 No Solution
3.24 Solve the differential equation in Example 3.4.1 for the mixed boundary conditions u(0) = 0, (d) = 1 dx/x=1 Use the uniform mesh of three linear elements. The exact solution is mm)_ 2 cos(1 – 2) - sin 2 - + x2 – 2 cos(1) Answer: U2 = 0.4134, Uz = 0.7958, U4 = 1.1420, (Q1)def = -1.2402. Example 3.4.1 Use the finite element method to solve the problem described by the following differential equation and boundary conditions (see...
(1 point) In this problem we find the eigenfunctions and eigenvalues of the differential equation B+ iy=0 with boundary conditions (0) + (0) = 0 W2) = 0 For the general solution of the differential equation in the following cases use A and B for your constants, for example y = A cos(x) + B sin(x)For the variable i type the word lambda, otherwise treat it as you would any other variable. Case 1: 1 = 0 (1a.) Ignoring the...
Question 13 2 pts Which of the following conditions are boundary value problems? Od (0) = 5, y(0) = 0 (1) = 5, y(0) = 0 (O) = 5, y(1) = 0 pod (1) = 5, y(1) = 0 Question 14 2 pts What technique did we use to solve nonlinear finite-difference equations? Gauss-Seidel Linear Interpolation O Something Else
Question 24 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (x) +u = L (x) € (0,L] B.C's: u () = 0 and EA (2) de Iz-L=F, the trapezoidal method is used to converts the problem into coupled integral equations solved at the quadrature points. None of the above. finite differences are used to convert the governing equation and boundary conditions of the problem into an analog set...
PLEASE DO THESE QUESTION 1: How many products are formed from the reaction of NaCN with 3-bromo-2,2-dimethylbutane? a: two b: four c: three d: one 2: How many products are formed from the substitution reaction of NaCN with 2-bromo-3-methylbutane? a: two b: three c: four d: one 3: Which of the following terms BEST describes the stereochemistry of an SN2 reaction? a: Inversion b: None of these c: Racemization d: Retention 4: Which of the following terms BEST describes the...
Question 19 Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA () 9 + - =D () 2 € (0,L] B.C's:u (0) = 0 and EA (2) --=F. An appropriate algebraic equation to use in the finite difference solution of the boundary value problem posed in question 24 is -Post A)u(L) - (L+Ax) EAL) F. 201 B) Su (L) - u(L - Ax) + 4u (L + A2) EAL C) (L)...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
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Question 40 2 About the differential equation that describes the elastic curve for a beam Which of the following statements is false; For a beam made with a single uniformes constant For a promotic beam is constant For a primi beam is constant For a beam with varying cross-section will change with location Question 41 2 pts About the differential equation that describes the elastic curve for a beam which of the following...