HOMEWORK 2 SOLUTIONS: MATH 215/255
Due in class on Friday, Feb 3rd
Show all relevant work for credit. You will be marked for your work and your answer as appropriate.
Talking to other students about t
MATH 215/255
Fall 2014
Assignment 3 solutions
1.6, 1.7, 2.1, 2.2
Solutions to selected exercises can be found in [Lebl], starting from page 303.
1.6.6: Start with the logistic equation dx = kx(M x).
Xyllene Guerra
Assignment math215255WW5 due 02/22/2016 at 09:00am PST
MATH215-255-ALL 2015W2
year
1946
USSR (x)
14
US (y)
80
1. (1 pt) Write the system x 0 = e9t x 3ty + 6 sin(t), y 0 =
7 tan(t) y + 6
MATH 215S - MIDTERM I - SOLUTION KEY
Problem I. Short answer questions. In general if the correct answer is anywhere on the page give
the full points. For two point question only check if the correct
MATH 215S - PRACTICE MIDTERM
Problem I. (18 points) Short answer questions. Here you only need to give the correct answer no
detailed explanations/ calculations are needed to support your answer.
(a)
Midterm 2
1. Find the general solution to the following inhomogeneous linear system
t
2
e
~x(t) +
1
0
0
~x (t) =
1
0
Solution: ~xgen (t) = ~xhom (t) + ~xpart (t).
First find the solution to the homog
MATH 255: Project 2, due date: April 3
Content : 3 problems, Total mark: 3 points
This is a team project. You can submit this project in a group of two.
Problem 1: Two-mass, three-spring system
Consid
MATH 215 — section 201 : Quiz 2, February 24 2016
Duration : 15 minutes. No lecture notes, no textbooks, no calculators.
Content : 2 problems, Total : 25 points
Write clearly your final answer in the
MATH 215/255
Fall 2014
Assignment 6
6.1, 6.2
Solutions to selected exercises can be found in [Lebl], starting from page 303.
6.1.8: Find the Laplace transform of cos2 (t).
1
Answer. As follows from t
MATH 215/255
Fall 2014
Assignment 4
2.2, 2.4, 2.5
Solutions to selected exercises can be found in [Lebl], starting from page 303.
2.2.9: Solve y + 9y = 0 for y(0) = 1, y (0) = 1.
Answer.
The characte
MATH 215/255
Fall 2014
Assignment 5
2.5, 2.6
Solutions to selected exercises can be found in [Lebl], starting from page 303.
2.5.7: a) Find a particular solution of y 2y + y = ex using the method of
MATH 215/255
Fall 2014
Assignment 1
1.1, 1.2, 1.3
Solutions to selected exercises can be found in [Lebl], starting from page 303.
1.1.3: Solve
dy
= sin(5x), for y(0) = 2.
dx
Answer.
1
sin(5x)dx = cos
MATH 215/255
Fall 2014
Assignment 8
due 11/19
3.4, 3.7, 3.5, 3.9
Solutions to selected exercises can be found in [Lebl], starting from page 303.
3.4.6: a) Find the general solution of x1 = 2x1 , x2 =
MATH 215/255
Fall 2014
Assignment 9
3.9, 8.1, 8.2
Solutions to selected exercises can be found at the end of the draft chapter of Lebls book
on nonlinear systems.
3.9.8: Consider the equation
=
x
1/
MATH 215/255
Fall 2014
Assignment 7
6.3, 6.4, 3.1, 3.3
Solutions to selected exercises can be found in [Lebl], starting from page 303.
6.3.3: Find the solution to
mx + cx + kx = f (t), x(0) = 0, x (0