Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t) = √√3cost + √√/3sint y(t) = cost + sint y(t) = √√3cost+ (√3+ 8) sint O y(t) = (4 + 8√3) cost + (4√3-8)sint y(t) = 8cost 16sint y(t) = e¹e¹ y(t) = -16cost + 8sint y(t) = C₁ cost + c₂sint

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...
icon
Related questions
Question
Solve the initial value problem
y" + y = 0,
y(t) = √√3cost + 8√//3sint
√√3cost + √√/3sint
y(t) =
y(t) = cost + sint
y(t) = √√3cost + (√3+ 8) sint
Oy(t) = (4 + 8√3) cost + (4√3-8)sint
O y(t) = 8cost 16sint
Oy(t) = e¹e¹
y(t) = -16cost + 8sint
O y(t) = c₁ cost + c₂sint
(73) = 8, y' (π/3) =
- 16
Transcribed Image Text:Solve the initial value problem y" + y = 0, y(t) = √√3cost + 8√//3sint √√3cost + √√/3sint y(t) = y(t) = cost + sint y(t) = √√3cost + (√3+ 8) sint Oy(t) = (4 + 8√3) cost + (4√3-8)sint O y(t) = 8cost 16sint Oy(t) = e¹e¹ y(t) = -16cost + 8sint O y(t) = c₁ cost + c₂sint (73) = 8, y' (π/3) = - 16
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

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