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d) y'= 4y-3x 2x-y

d) y'= 4y-3x 2x-y

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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1)Determine the solutions of the following first-order ODEs: 

Tip:y'=xv'+v

         y=xv

* xv'+v=(4xv-3x)/(2x-xv) >>>> xv'+v=(2v-3)/(1-v)>>>xv'=(2v-3-v+v²)/(1-v) *

 ANSWER CORRECT :|y − x| = C|y + x|3 

Any different answer will be considered wrong

NOTE: picture of an incomplete solution, but the final answer is right (wanted a more complete solution)

 

 

 

IP IP Dy = 44-3x y² = XV²+V 2x-y y = xv XV² + V = 4XV-3x =) √x + V = X (4/X-3) 2X-XV x.(2-x) XV²+ V = 4x=3 => XV² + V = 2V-3x =) XV² = 2V-3_V + √²2² 2-V J-V J-V xdy = 2V= 3= √+₂√²₂² =). J-V dv=dx dx V² V-3 dv=dx => 1-V V²V-3 X J-V dv= 1dx lyexclyxe с +
Transcribed Image Text:IP IP Dy = 44-3x y² = XV²+V 2x-y y = xv XV² + V = 4XV-3x =) √x + V = X (4/X-3) 2X-XV x.(2-x) XV²+ V = 4x=3 => XV² + V = 2V-3x =) XV² = 2V-3_V + √²2² 2-V J-V J-V xdy = 2V= 3= √+₂√²₂² =). J-V dv=dx dx V² V-3 dv=dx => 1-V V²V-3 X J-V dv= 1dx lyexclyxe с +
d) y'= || 4y-3x 2x-y
Transcribed Image Text:d) y'= || 4y-3x 2x-y
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