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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Please give correct answers for each part please answer each box if it is green that means the answer was correct if red that means the answer was incorrect
The differential operator for the homogeneous equation is
D²
Turned in automatically wher
List the complementary functions
-4x
A
se
Part 2: Find the particular solution
To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential
operator from above)
cos (8x)
Therefore the particular solution must be made up of the functions 1.x
Substituting these into the differential equation, we find the particular solution is
-4x
xe
Part 3: Solve the non-homogeneous equation
y' – Oy – 16y = e 4z has general solution (remember to use the format I gave you in your correct answer to the complementary functions above)
4x
-4x
xe
ae
+betr
Now that we have the general solution solve the IVP
y(0) = -9
y (0) = -9
-359e 4x
217
-4x
xe
64
8
a
8:52
4/15/
Transcribed Image Text:The differential operator for the homogeneous equation is D² Turned in automatically wher List the complementary functions -4x A se Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) cos (8x) Therefore the particular solution must be made up of the functions 1.x Substituting these into the differential equation, we find the particular solution is -4x xe Part 3: Solve the non-homogeneous equation y' – Oy – 16y = e 4z has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) 4x -4x xe ae +betr Now that we have the general solution solve the IVP y(0) = -9 y (0) = -9 -359e 4x 217 -4x xe 64 8 a 8:52 4/15/
Try again
Next
You have answered 4 out of 7 parts correctly.
For the differential equation y" – Oy – 16y= e
4z
Part 1: Solve the homogeneous equation
The differential operator for the homogeneous equation is D--16
List the complementary functions
etr
e 4x
se
Part 2: Find the particular solution
To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential
operator from above) 4x
cos (8x)
Therefore the particular solution must be made up of the functions 1.x
Substituting these into the differential equation, we find the particular solution is
Part 3: Solve the non-homogeneous equation
16u
4z has general solution (remember to use the formar I gave vou in vour correct answer to the complementary functions above)
a
8:51 PM
会
4/15/2021
近
Transcribed Image Text:Try again Next You have answered 4 out of 7 parts correctly. For the differential equation y" – Oy – 16y= e 4z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is D--16 List the complementary functions etr e 4x se Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) 4x cos (8x) Therefore the particular solution must be made up of the functions 1.x Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation 16u 4z has general solution (remember to use the formar I gave vou in vour correct answer to the complementary functions above) a 8:51 PM 会 4/15/2021 近
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