Consider the differential equation d'y dy + 2 + 2y = 3 sin(2x), da dx² and the problem of finding a particular integral by the method of undetermined coefficients using the trial function y = p sin(2x) + q cos(2x). Select the option that gives a set of equations to determine the coefficients. Select one: 4p-3q=0, -3p-4q=3 2p 3g = 0, - -3p-2q = 3 4p2q = 0, -2p - 4q=3 2p-2q = 0, -2p - 2q = 3
Consider the differential equation d'y dy + 2 + 2y = 3 sin(2x), da dx² and the problem of finding a particular integral by the method of undetermined coefficients using the trial function y = p sin(2x) + q cos(2x). Select the option that gives a set of equations to determine the coefficients. Select one: 4p-3q=0, -3p-4q=3 2p 3g = 0, - -3p-2q = 3 4p2q = 0, -2p - 4q=3 2p-2q = 0, -2p - 2q = 3
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:Consider the differential equation
d'y dy
+2- + 2y = 3 sin(2x),
dx² da
and the problem of finding a particular integral by the method of undetermined coefficients using the trial
function y = p sin(2x) + q cos(2x).
Select the option that gives a set of equations to determine the coefficients.
Select one:
4p - 3q=0,
-3p-4q = 3
2p-3g = 0,
-3p2q = 3
-2p - 4q = 3
4p2q = 0,
2p2q = 0,
-2p - 2q = 3
O O
0
![A system of differential equations has a general solution
3
20t
-10t
[]=[³]
Enter an expression in the box below that gives the value of a in the particular solution that satisfies
17
x =
and y¹7 when t = 0.
=
α =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05f38c49-c408-4484-9656-bbacca2d5993%2Fe639c149-0a4c-49f9-bb20-92765391ceb5%2Ftitybc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A system of differential equations has a general solution
3
20t
-10t
[]=[³]
Enter an expression in the box below that gives the value of a in the particular solution that satisfies
17
x =
and y¹7 when t = 0.
=
α =
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