Math 34 Dierential Equations Quiz 3
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st
e f (t)dt
0
1.) Dene: The LaPlace transform of f = L(f ) =
2a.) L(0) = 0
3
2b.) L1 ( (s+1)2 +2 ) =
3 t
e
sin(
2
2t)
1
3
L1 ( (s+1)2 +2 ) = 3L1 ( (s+1)2 +2 ) =
2
3
L1 (
(s+1)2 +2 )
2
=
3 t 1
e
L ( (s)2
Quiz 2:
Logs/Exponentialsalgebraic formulas, simplication, graphing.
Give an example of an initial value problem with multiple solutions.
Give an example of an initial value problem which has no solution.
What conditions guarantees that an initial value p
Math 34 Dierential Equations Exam #1
September 24, 2010
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[5] 1a.) Dene: A function f is linear if
f (ax + by) = af (x) + bf (y) where a, b are scalars (or real numbers or complex
numbers for this class).
Circle T for True or F for False:
[3]
Math 34 Dierential Equations Exam #1
September 24, 2010
SHOW ALL WORK
[5] 1a.) Dene: A function f is linear if
f (ax + by) = af (x) + bf (y) where a, b are scalars (or real numbers or complex
numbers for this class).
Circle T for True or F for False:
[3]
22M:034 Engineer Math IV:Differential Equations
Homework sheet
May 15, 2015
No late homework is permitted.
You have to answer all the questions.
Provide complete solutions with all steps described in detail.
Homework is subject to change. Please check