Given that P1 = 3e2x is a particular solution of y" - 6y' + 5y = -9e2x, and = x* +3x is a particular solution of Y p2 у"- бу' + 5у %3D 5х? + 3х — 16. Which one of the following is the particular solution of the differential equation y" – 6y' + 5y = -10x? – 6x + 32 +e2. = 5x +3x – 16. ,2 | 1.2 3 A.Y p +x+ B. Yp = -x² – 3x + 9e2* C. No correct answer D. Yp =x +3x +e2x E. Yp = -2x?– 6x -e ,2x
Given that P1 = 3e2x is a particular solution of y" - 6y' + 5y = -9e2x, and = x* +3x is a particular solution of Y p2 у"- бу' + 5у %3D 5х? + 3х — 16. Which one of the following is the particular solution of the differential equation y" – 6y' + 5y = -10x? – 6x + 32 +e2. = 5x +3x – 16. ,2 | 1.2 3 A.Y p +x+ B. Yp = -x² – 3x + 9e2* C. No correct answer D. Yp =x +3x +e2x E. Yp = -2x?– 6x -e ,2x
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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Transcribed Image Text:Question 6
Given that P1
= 3e2x
is a particular
solution of y" – 6y' + 5y = -9e, and
.2
Y p2
= x* +3x is a particular solution of
y" – 6y'+ 5y = 5x2 + 3x – 16.
Which one of the following is the
particular solution of the differential
equation
y" – 6y' + 5y =-10x2 – 6x + 32 +e2*.
3
1.2
+
2
A.Y p
2
В. Ур
- 3x + 9e2x
C. No correct answer
= x +3x +ex
D. Y p
1
-2x2-6x
,2x
E. Yp = -2x? – 6x
-
![Question 5
A lower bound for the radius of
convergence of power series solutions of
the differential equation
(x? +1 ]y" + 2xy' – 4y = 0 about the
ordinary x = 1 is
A. x – 1| <2
B. Not correct answer
C. |x| < /2
D. x| <1
E. x| < J4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad5cf0f8-c5f9-48e8-a2a2-a30fb870051c%2Fac788f22-443f-494c-a109-549e91a0e0e5%2Fq39hiz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
A lower bound for the radius of
convergence of power series solutions of
the differential equation
(x? +1 ]y" + 2xy' – 4y = 0 about the
ordinary x = 1 is
A. x – 1| <2
B. Not correct answer
C. |x| < /2
D. x| <1
E. x| < J4
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