Let y = e2x and y2 = e3x be solutions for a homogeneous DE. Then, %3D is also a solution to the DE. Select one: O y = 4e-3x + 7e2x O None of these. O y = 4e-3x + 7e-2x O y = 4e3x + 7e2x O y = 4e3x + 7e-2x
Let y = e2x and y2 = e3x be solutions for a homogeneous DE. Then, %3D is also a solution to the DE. Select one: O y = 4e-3x + 7e2x O None of these. O y = 4e-3x + 7e-2x O y = 4e3x + 7e2x O y = 4e3x + 7e-2x
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,...
Related questions
Question
![Let y = e2x and y2 = e* be solutions for a
homogeneous DE. Then,
is also a
solution to the DE.
Select one:
O y = 4e-3x
+ 7e2x
O None of these.
O y = 4e-3x + 7e-2x
O y = 4e3x + 7e2x
O y = 4e3* + 7e-2
e-3x are both
The functions y = e³x and y2
solutions for the homogeneous DE:
%3D
=
y" – 9y = 0.
Then, the general solution of nonhomogeneous DE
y" – 9y = -18x – 36
is
Select one:
O y = cje³x + cze¬3x – 2x – 4
O y = cje3x + cze¬3x – 2x + 4
O None of these.
O y = cje* + cze¬3* + 2x + 4
O y = cjex + cze-3x + 2x – 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7194a382-f34f-46ef-97dd-e28248e7fbe7%2F5e6cdab3-3888-4f91-b8e9-e527de836c4e%2Fbxeodn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y = e2x and y2 = e* be solutions for a
homogeneous DE. Then,
is also a
solution to the DE.
Select one:
O y = 4e-3x
+ 7e2x
O None of these.
O y = 4e-3x + 7e-2x
O y = 4e3x + 7e2x
O y = 4e3* + 7e-2
e-3x are both
The functions y = e³x and y2
solutions for the homogeneous DE:
%3D
=
y" – 9y = 0.
Then, the general solution of nonhomogeneous DE
y" – 9y = -18x – 36
is
Select one:
O y = cje³x + cze¬3x – 2x – 4
O y = cje3x + cze¬3x – 2x + 4
O None of these.
O y = cje* + cze¬3* + 2x + 4
O y = cjex + cze-3x + 2x – 4
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