please solve step by step In addition, please make sure to also write your name and...
please solve step by step to paper
NAME: Q1. (30pts) Solve the quadratic equation z2-(9 2i)z +28 12i 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0+ i sin 0) of A and the 'first' root + isin 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two...
This is a graduate-level question. It's not that easy and basic.
Please make sure that your answer is correct before you answer
that. Also, please write the answer step by step, especially the
part to solve the ordinary differential equation. Thank you so
much!
2. Find the -limit set of the solution of the system with the initial condition 2(0) = 10, y(0) = 0.
2. Find the -limit set of the solution of the system with the initial condition...
this is a differential equation question
please solve them with steps and details also, make sure it
is correct
Find the particular solutions for the following
differential equations
(b) y" +9y = sec 3t tan 31
this is a differential equation question
please solve them with steps and details also, make sure it is
correct
2. (4 points each) Find the particular solutions for the following differential equations. (a) y" – 4y = 21
this is a differential equation question
please solve them with steps and details also, make sure it is
correct
solve By Delay Theorem
(3 points each) Find the following functions, L{(t-1) step(t - 4)}
this is a differential equation question
please solve them with steps and details also, make sure it is
correct
2. (4 points each) Find the particular solutions for the following differential equations. (a) y" – 4y = 21 (b) y" +9y = sec 3t tan 3t
Question 3: BVP with periodic boundary conditions. Part I: Solve the following boundary value problem (BVP) where y(x,t) is defined for 0<x<. You must show all of your work (be sure to explore all possible eigenvalues). агу д?у 4 axat2 Subject to conditions: = y(x,0) = 4 sin 6x ayi at = 0 y(0) = 0 y(T) = 0 Solution: y(x, t) = Do your work on the next page. Part II: Follow up questions. You may answer these questions...
Problem 2. (15 points) Solve the following Laplace's equation in a cube as outlined below. au au au 2,2 + a2 + a2 = 0, on 0<x<1, 0<y<1, 0<?<1, (0, y, z) = (1, y, z) = 0, (x, 0, 2) = u(x, 1, ) = 0, (x, y,0) = 0, u(x,y, 1) = x. (a) Seek a solution of the form u(x, y, z) = F(x) G(v) H(-). Show that with the appropriate choice of separation constants, you can...
this is a differential equation question
please solve them with steps and details also, make sure it is
correct
3. (6 points) Solve the IVP: y" +9y = e3+ + 8(t - 27), y(0) = y0) = 0.
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....