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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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
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
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