Homework Help is Here – Start Your Trial Now!
Math
Calculus
y(1) = C,e cos() + c,e sin(1) and the initial conditions y (0) = 2 and y'(0) = 1 Determine the values of C1 and C2. C, =0 A) C, = -1 C, =2 B C2=1 C, =0 C2= -5 C, = 2 D C2=-3 C, = 2 C2= 3 E.

y(1) = C,e cos() + c,e sin(1) and the initial conditions y (0) = 2 and y'(0) = 1 Determine the values of C1 and C2. C, =0 A) C, = -1 C, =2 B C2=1 C, =0 C2= -5 C, = 2 D C2=-3 C, = 2 C2= 3 E.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

q20

y (t) = C,e cos(t) + C,e sin(t) and the initial conditions y (0) = 2 and y'(0) = 1 Determine the values of C1 and C2. C, =0 A C, = -1 C, = 2 C2= 1 C, =0 C2= -5 C, = 2 C2= -3 C, = 2 E C,= 3
Transcribed Image Text:y (t) = C,e cos(t) + C,e sin(t) and the initial conditions y (0) = 2 and y'(0) = 1 Determine the values of C1 and C2. C, =0 A C, = -1 C, = 2 C2= 1 C, =0 C2= -5 C, = 2 C2= -3 C, = 2 E C,= 3
Expert Solution
Step 1

Given:

yt=C1e-tcost+C2e-tsint   ...1

And

y0=2 and y'0=1

 

The Product rule:

f·g'=f'·g+f·g'

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS