A second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that satisfies the given initial conditions involving y(0) and y'(0). y' + 16y = 0, y(x) = A cos 4x + B sin 4x, y(0) = 3, y'(0) = 20 A= and B= (Simplify your answers.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
A second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that
satisfies the given initial conditions involving y(0) and y'(0).
y" + 16y = 0, y(x) = A cos 4x + Bsin 4x, y(0) = 3, y' (0) = 20
...
A= and B =
(Simplify your answers.)
A second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that
satisfies the given initial conditions involving y(0) and y'(0).
y" - 9y = 0, y(x) = Ae
,3x +Be
- 3x
, y(0) = 17, y'(0) = 3
.....
A =
and B =
(Simplify your answer.)
Transcribed Image Text:A second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that satisfies the given initial conditions involving y(0) and y'(0). y" + 16y = 0, y(x) = A cos 4x + Bsin 4x, y(0) = 3, y' (0) = 20 ... A= and B = (Simplify your answers.) A second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that satisfies the given initial conditions involving y(0) and y'(0). y" - 9y = 0, y(x) = Ae ,3x +Be - 3x , y(0) = 17, y'(0) = 3 ..... A = and B = (Simplify your answer.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education