Solve the initial value problem. y" – 2y' + 2y = e='; y(0) = 0, y' (0) = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Solve the initial value problem.
y" – 2y + 2y = e"; y(0) = 0, y'(0) = 4
Transcribed Image Text:Solve the initial value problem. y" – 2y + 2y = e"; y(0) = 0, y'(0) = 4
Find y(t).
22
e sint
5
1
cost +
y(t) =
1
22
Fe'sint
5
1
-e'cost +-e
y(t) =
1
y(t) :
5
22
y(t) =
-e'sint
5
22
Fe'sint + e'cost + ze
5
1
1
y(t) =
Transcribed Image Text:Find y(t). 22 e sint 5 1 cost + y(t) = 1 22 Fe'sint 5 1 -e'cost +-e y(t) = 1 y(t) : 5 22 y(t) = -e'sint 5 22 Fe'sint + e'cost + ze 5 1 1 y(t) =
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,