The differential equation d²y - dx2 9. dy dx +14y = 0 has characteristic equation = 0 help (formulas) with roots ☐ help (numbers) Therefore there are two linearly independent solutions help (formulas) Note: Enter the solutions as a comma separated list (they should be those usual exponential ones as in the book). Use these to solve the initial value problem d² y dx2 - 9. dy dy +14y = 0, y(0) = -8, -(0) = 6. dx dx y(x) = ☐ help (formulas) Book: Section 2.2 of Notes on Diffy Qs

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.3: Solving Quadratic Equations By Graphing
Problem 5GP
icon
Related questions
Question

Box thr andwes

The differential equation
d²y
-
dx2
9.
dy
dx
+14y = 0
has characteristic equation
= 0 help (formulas)
with roots ☐ help (numbers)
Therefore there are two linearly independent solutions
help (formulas)
Note: Enter the solutions as a comma separated list (they should be those usual exponential ones as in the book).
Use these to solve the initial value problem
d² y
dx2
-
9.
dy
dy
+14y = 0,
y(0)
=
-8,
-(0) = 6.
dx
dx
y(x) = ☐ help (formulas)
Book: Section 2.2 of Notes on Diffy Qs
Transcribed Image Text:The differential equation d²y - dx2 9. dy dx +14y = 0 has characteristic equation = 0 help (formulas) with roots ☐ help (numbers) Therefore there are two linearly independent solutions help (formulas) Note: Enter the solutions as a comma separated list (they should be those usual exponential ones as in the book). Use these to solve the initial value problem d² y dx2 - 9. dy dy +14y = 0, y(0) = -8, -(0) = 6. dx dx y(x) = ☐ help (formulas) Book: Section 2.2 of Notes on Diffy Qs
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell