4. Solve the equations for general solutions. d a. D(D² +D – 1)(D – n1)²y = 0, where D = ] and y = y(0) de d²x b. dt2 +B * + w?x = 42, B,w > 0 and ß > 2w. No need to show work when finding x, here. Зx2у" + 8ху' — 2у %3D0 с.
4. Solve the equations for general solutions. d a. D(D² +D – 1)(D – n1)²y = 0, where D = ] and y = y(0) de d²x b. dt2 +B * + w?x = 42, B,w > 0 and ß > 2w. No need to show work when finding x, here. Зx2у" + 8ху' — 2у %3D0 с.
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![4. Solve the equations for general solutions.
a. D(D² + D – 1)(D – n)²y = 0, where D = [ ] and y = y(0)
de
b.
+ w²x = 42,
B, w > 0 and ß > 2w. No need to show work when finding x, here.
Зx?у" + 8ху' — 2у %3D0
с.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed3eef2a-70e8-485e-b91d-563de65921b3%2F15793ed5-fd05-46b7-8c53-809457b74d63%2F1df2vo9_processed.png&w=3840&q=75)
Transcribed Image Text:4. Solve the equations for general solutions.
a. D(D² + D – 1)(D – n)²y = 0, where D = [ ] and y = y(0)
de
b.
+ w²x = 42,
B, w > 0 and ß > 2w. No need to show work when finding x, here.
Зx?у" + 8ху' — 2у %3D0
с.
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