Name:
PID:
TA:
Math 20D : Midterm 1
Turn o↵ and put away your cell phone.
No calculators or any other electronic devices are allowed during this exam.
You may use one page of notes, but no books or other assistance during this exam.
Read each question carefully, and answer each question completely.
Show all of your work; no credit will be given for unsupported answers.
Write your solutions clearly and legibly; no credit will be given for illegible solutions.
If any question is not clear, ask for clarification.
You have 50 minutes.
1 out of 10 points
2 out of 10 points
3 out of 10 points
4 out of 10 points
Total out of 40 points
, 1. (10 points) Solve the initial value problem
(
y 0 y = et t
y(0) = 2
↓ M(t) = eSpHidt
joldt
=
C
t+ ( -T
y
-
e
-
=
=
M(t) = e
= jet . e+ de + 3
y
~
ES +de C +
· +3
y= + +
y(0) = 2
to y= +
2 =
- 2 +
2= 0 + C
2= 2
PID:
TA:
Math 20D : Midterm 1
Turn o↵ and put away your cell phone.
No calculators or any other electronic devices are allowed during this exam.
You may use one page of notes, but no books or other assistance during this exam.
Read each question carefully, and answer each question completely.
Show all of your work; no credit will be given for unsupported answers.
Write your solutions clearly and legibly; no credit will be given for illegible solutions.
If any question is not clear, ask for clarification.
You have 50 minutes.
1 out of 10 points
2 out of 10 points
3 out of 10 points
4 out of 10 points
Total out of 40 points
, 1. (10 points) Solve the initial value problem
(
y 0 y = et t
y(0) = 2
↓ M(t) = eSpHidt
joldt
=
C
t+ ( -T
y
-
e
-
=
=
M(t) = e
= jet . e+ de + 3
y
~
ES +de C +
· +3
y= + +
y(0) = 2
to y= +
2 =
- 2 +
2= 0 + C
2= 2
