QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e²2, given the initial conditions y(0) = 0, y'(0) = 1, we obtain the following 1 O O L {y}=- + S-2 L {y}= L {y}= L {y} = 1 S-2 1 s+1 1 10 s-2 + -1 2 + -s+ 5 s²+2s+2 5 -s+2 s²-25+2 S s²+2s+2 10 -S- 2 5 s²+25+2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
icon
Related questions
Question
Differential Equations question
QUESTION 3
After we apply the Laplace transform to the equation y"+2y'+2y=e2, given the initial conditions y (0) = 0, y'(0) = 1, we obtain the following
1
5
S-2
O
O
L {y}=
L {y}=
L {y}=
L {y} =
1
S-2
1
s+1
+
+
1
10
s-2
-1 2
5
5
s²+2s+2
+
-s+2
s²-2s+2
s²+2s+2
-1 2
10 5
s²+25+2
Transcribed Image Text:QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e2, given the initial conditions y (0) = 0, y'(0) = 1, we obtain the following 1 5 S-2 O O L {y}= L {y}= L {y}= L {y} = 1 S-2 1 s+1 + + 1 10 s-2 -1 2 5 5 s²+2s+2 + -s+2 s²-2s+2 s²+2s+2 -1 2 10 5 s²+25+2
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning