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Determine all the solutions. Find the solution that passes through the orgin y' = 2x + y + 1 x + 2y + 2

Determine all the solutions. Find the solution that passes through the orgin y' = 2x + y + 1 x + 2y + 2

Advanced Engineering Mathematics
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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Determine all the solutions. Find the solution that passes through the orgin y'= 2x + y + 1 x + 2y + 2 X
Transcribed Image Text:Determine all the solutions. Find the solution that passes through the orgin y'= 2x + y + 1 x + 2y + 2 X
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Follow-up Question

On the picture attached..... I don't think you can pull out 1/x and mulitply it by the cx.

Isn't the x in 1/x also being raised to the power of 3/4 ??

Also, after setting it = to 0.... you raise the ln from the base of e to get e^ln = 1..... but wouldn't you raise the 0 as well to get e^0 which = 1..... not e??

ㅛ x-y-1)314 2 = (imix) 20 즐 314 (a-y-isolu (onty+i) =e (x-y-1)
Transcribed Image Text:ㅛ x-y-1)314 2 = (imix) 20 즐 314 (a-y-isolu (onty+i) =e (x-y-1)
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Follow-up Question

After you say: "let 2h+k+1=0 and h+2k+2 = 0.....

Why did you multiply (h+2k+2) by 2 then subtract it from 2h+k+1=0  ??  

ㅛ Let√2h+k+1=0 h+ 2K +2=0 2h+k+ㅣ= 0 2ntukty=0 - -35-3=0 ㅕ k=-1 이
Transcribed Image Text:ㅛ Let√2h+k+1=0 h+ 2K +2=0 2h+k+ㅣ= 0 2ntukty=0 - -35-3=0 ㅕ k=-1 이
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