Given the third-order linear homogeneous differential equation: y (3) - y=0 Select all correct answers Hide answer choices A A B If y (0)=0. y' (0) =1. y' (0) = -1 3 (-1/2) sin( et, e then y=(- 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: el X x + x) -*/2, xe¯*/2
Given the third-order linear homogeneous differential equation: y (3) - y=0 Select all correct answers Hide answer choices A A B If y (0)=0. y' (0) =1. y' (0) = -1 3 (-1/2) sin( et, e then y=(- 2 is a solution of the associated initial value problem. Three linearly independent solutions of the given differential equation are: el X x + x) -*/2, xe¯*/2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:D
E
F
Three linearly independent solutions of the given differential equation are:
e², e¹/² sin(x), e¹/² cos(x)
e*/2
x/2
2
y = 0 is solution of the given differential equation:
y (3) - y = 0
Three linearly independent solutions of the given differential equation are:
ex, e
-x/2 sin (
√√3
2
then y=(-
If y (0)=0, y' (0) = 1, y'' (0) = -1
(-1/2),
-x/2 cos (
-x), e
√3
2
sin (
-x)
e
is a solution of the associated initial value problem.
Transcribed Image Text:Given the third-order linear homogeneous differential equation:
y (3) - y=0
Select all correct answers
Hide answer choices
A
B
If y (0) = 0, y '(0) = 1, y ''(0) = -1
3
(X x + x)
2
then y=(-
(-1/2) sin(
et, e
del
is a solution of the associated initial value problem.
Three linearly independent solutions of the given differential equation are:
-*/2, xe¯*/2
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