BET203-WORKSHEET TWO (2018) Bachelor of Engineering Technology (Civil) Program School of Engineer...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction ENGINEERING MATHEMATICS 2 (BET 203) Assignment-: Differential equations Answer all questions showing your work very clearly Attach completed Assignment cover sheot Please note that class participation is compulsory for this Assessment Duc date: 2A 2019 (6.00 pm) late submissions will incur 10% of penalty each day it is late. All work produced must be neat and clear. Word processed is preferred. 1. The cantilever beam AB of length...
3. Find the solutions to the following differential equations: [mark 25% d2x dx 5 2x 5 (1) dt2 dt x(0) (0) 0 (2) Use the Final Value Theorem to determine x(t) as t -» co from X(s) Note: Dots denote differentiation with respect to time 3. Find the solutions to the following differential equations: [mark 25% d2x dx 5 2x 5 (1) dt2 dt x(0) (0) 0 (2) Use the Final Value Theorem to determine x(t) as t -» co...
Differential Equations Need Help! Will Rate! Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
Hi, I need the full worked solution/explanations for all parts of this questions please. The final answers to each part are shown below the question. Clear handwriting is greatly appreciated. Thank you! :) Question 5 (a) Solve the eigenvalues and its corresponding eigenvectors of a 2x2 matrix given by 2 0 (8 marks) For the system of differential equations, Зх — у ў 2х + 6е ". (b) Write and explain the system of differential equations in matrix form. (2...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
I need help with these! 3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
() attimet woma wo spring system, the displacements of the two masses are represented by (l) and The motion is governed by the following pair of second order simultaneous differential equations az + by zdy d2 where a -20, -3, -100,--25 (a) The system is initially released from rest. Find the partouw solutions to the differential equations which satisfy the initial displacements x For this part of the question give x as a function of t. Omit the "x "...
(1 point) Consider two interconnected tanks as shown in the figure above. Tank 1 insal contains 100 Lters) of water and 345 g of sat, while tank 2 initally contains 90 L of water and 225 g of sait Water containing 25 gL of salt is poured into tank1 at a rate of 3.5 Lmin while the midure flowing into tank 2 contains a salt concentration of 35 gL of salt and is flouing at the rate of 2.5 Limin....
3 Consider two tanks, A and B, each holding 200 litres of water. A pipe pumps water from tank A to tank B at a rate of 5 1/min. At the same time another pipe pumps liquid from tank B to tank A at the same rate. At time t = 0, X0 kg of a chemical X is dissolved into tank A, and tank B has yo kg of the same chemical X dissolved into it. i) Write down...
I hope you find humor behind my teacher's strange imagination. I understand a and b, but had trouble finishing the problem. Any help appreciated, thanks! 7. [27 points A pet store wants to start selling radioactive fish. These come in two typesfour-eyed, and six-eyed, as shown. Let r(t) denote the population of four-eyed fish, and y(t) the population of six-eyed fish. Since the fish will be kept in the same tank, they will fight each other. However, the pet store...