Let y = y(t) be the solution to the initial value problem dy dt Find the value of y(2π). 4TE 3 47 7 Does not exist + 2y = sint, y(t) = 0

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
Let y = y(t) be the solution to the initial value problem
dy
dt
Find the value of y(2π).
O
O
1
47
3
4.T
T
Does not exist
+ 2y = sint, yY(T) = 0
Transcribed Image Text:Let y = y(t) be the solution to the initial value problem dy dt Find the value of y(2π). O O 1 47 3 4.T T Does not exist + 2y = sint, yY(T) = 0
Find the solution of the initial value problem
1-2x
y(1) = -2
Y
y
in explicit form.
=
y = 2x − 2x² – 2
y²/2 = x - x² + 2
y = ln |2x - 2x² − 1|
y = √√√2x − 2x² +4
y = -√2x2x² +4
Transcribed Image Text:Find the solution of the initial value problem 1-2x y(1) = -2 Y y in explicit form. = y = 2x − 2x² – 2 y²/2 = x - x² + 2 y = ln |2x - 2x² − 1| y = √√√2x − 2x² +4 y = -√2x2x² +4
Expert Solution
steps

Step by step

Solved in 4 steps with 3 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,