Let yi = e* and y2 = homogeneous DE. Then, be solutions for a 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 The functions y = e³* and y2 = e-3* are both solutions for the homogeneous DE: y" – 9y = 0. Then, the general solution of nonhomogeneous DE y" – 9y = -18x – 36 is Select one: O y = cjex + cze-3x – 2x – 4 O y = cje3x + cze¬3* – 2x +4 O None of these. O y = cjex + cze¬3x + 2x + 4 O y = cje* + cze¬3* + 2x – 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 + 7e2*
O y = 4e3x + 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 = cje3* + c2e-3x – 2x + 4
O None of these.
O y = cje* + cze¬3* + 2x + 4
O y = cjex + cze=3* + 2x – 4
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 + 7e2* O y = 4e3x + 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 = cje3* + c2e-3x – 2x + 4 O None of these. O y = cje* + cze¬3* + 2x + 4 O y = cjex + cze=3* + 2x – 4
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