For the equation y" + 4y = 0, (a) Show that y(x) = A sin wx + B cos wx is a solution for all values of the arbitrary constants A and B. (b) What is the interval of validity for this solution?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
icon
Related questions
Question
For the equation y" + 4y = 0,
(a) Show that y(x) = A sin wx + B cos wx is a solution for all values of the arbitrary
constants A and B.
(b) What is the interval of validity for this solution?
Transcribed Image Text:For the equation y" + 4y = 0, (a) Show that y(x) = A sin wx + B cos wx is a solution for all values of the arbitrary constants A and B. (b) What is the interval of validity for this solution?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage