Homework 8, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
1.6
Errata:
The last display on p.68 and the firs on p.69, should have, respectively
Z
Z
dx
1
x(y) =
dy =
dy =
dy
dy/dx
and
dp
= p2 .
dy
Do you now see their typos? Doesnt it make much more sense?
y
which separates into:
dp
dy
= 3
,
p
y
)
ln(p) = 3 ln y + ln(C) = ln(y3 ) + ln(C) = ln(C y3 ) ,
(1.6:17)
which produces, upon exponentiating both sides:
p = C y3 ,
dy
= C y3 .
dx
)
(1.6:18)
This last e
1. it says that potassium decays radioactively. Then, Eq. (14) applies, and we have, without
much ado:
dK
= k K(t) ,
)
K(t) = K0 e kt = K0 2 t/ ,
(1.4:2)
dt
ln(2)
,
where in the last equality weve use
All references are to Elementary Dierential Equations,
5th ed., by C.H. Edwards and D.E. Penney.
Instructors Warning: This solution set presents considerably more detail than was required of Students
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;
All references are to Elementary Differential Equations,
5th ed., by C.H. Edwards and D.E. Penney.
Instructors Warning: This solution set presents considerably more detail than was required of Student
SOLUTIONS TO HOMEWORK #3, MATH 54 SECTION 001, SPRING 2012
JASON FERGUSON
Beware of typos. These may not be the only ways to solve these problems. In fact, these may not even
be the best ways to solve
Homework 7, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
Homework 6, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
Homework 5, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
Homework 4, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
Homework 3, Linear Algebra & Dierential Equations 550.291, Fall 2013
Important instructions:
You may discuss mathematics ideas and MATLAB commands with others in the class prior to
writing up your sol
Homework 2, Linear Algebra & Dierential Equations 550.291, Fall 2013
You may discuss mathematics ideas with others in the class prior to writing up your solutions,
but when you write up the solutions
Homework 1, Linear Algebra & Dierential Equations 550.291, Fall 2013
You may discuss mathematics ideas with others in the class prior to writing up your solutions,
but when you write up the solutions
Exam 2, Linear Algebra & Dierential Equations 550.291, Fall 2013
Show all your work. The only permitted calculators are TI-30X IIS, TI-30XA, and TI-30X IIB.
(In particular, TI-30X Pro is not permitted
Exam 1, Linear Algebra & Dierential Equations 550.291, Fall 2013
Show all your work. The only permitted calculators are TI-30X IIS, TI-30XA, and TI-30X IIB.
(In particular, TI-30X Pro is not permitted
on
ly
!
HOMEWORK FOR EN.550.291
Homework # 1: due Sept. 12 during the TA session
Q. 1. Verify by substitution that the given function is a solution of the given differential
equation.
y 0 = y + 2ex ;