Find the general solution of y'' – 16y' + 128y = 0 Put your answer in the form y = C1x"e"1" + C2x"+e"2" or y = Show complete solution how you obtained r1 and r2 - If ri < r2 then put rị first as exponent of the first term with C1 If ri > r2 then put ri as exponent of the 2nd term with C2 tion:

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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Find the general solution of
y'' – 16y' + 128y = 0
C1a" e"1 + C2a"+le"2# or y = e"1# (C1 cos(qx) + C2 sin(qæ))
Put your answer in the form y =
Show complete solution how you obtained r1 and r2
If ri < r2 then put ri first as exponent of the first term with C1
3.
If ri > r2 then put rị as exponent of the 2nd term with C2
Solution:
Answer:
type answer here
Find the general solution of
y'' + 36y' + 324y = 0
Put your answer in the form y =
C1a" e"i" + C2 x"+l e"2# or y = e"1" (C1 cos(qx) + C2 sin(qæ))
Show complete solution how you obtained r1 and r2
If ri < r2 then put ri first as exponent of the first term with C1
If ri > r2 then put rị as exponent of the 2nd term with C2
4.
Solution:
Answer:
type answer here
Transcribed Image Text:Find the general solution of y'' – 16y' + 128y = 0 C1a" e"1 + C2a"+le"2# or y = e"1# (C1 cos(qx) + C2 sin(qæ)) Put your answer in the form y = Show complete solution how you obtained r1 and r2 If ri < r2 then put ri first as exponent of the first term with C1 3. If ri > r2 then put rị as exponent of the 2nd term with C2 Solution: Answer: type answer here Find the general solution of y'' + 36y' + 324y = 0 Put your answer in the form y = C1a" e"i" + C2 x"+l e"2# or y = e"1" (C1 cos(qx) + C2 sin(qæ)) Show complete solution how you obtained r1 and r2 If ri < r2 then put ri first as exponent of the first term with C1 If ri > r2 then put rị as exponent of the 2nd term with C2 4. Solution: Answer: type answer here
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