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Solve using seperation of variables

  • Thread starter Danzilla14
  • Start date
  • #1
Hello everyone how yall durrin!
Solve the following DEs by Seperation of Variables
eliminate natural logarithms and leave your final answer in implicit form

(3x+8)(y^2 +4)dx - 4y(x^2+5x+6)dy=0
by seperation of variables i get
(3x+8)dx/(x^2+5x+6)=4ydy/(y^2 +4)
now im having trouble integrating the left side of the equation, and on the right side i get 2ln|Y^2 +4|
help me pleeeeeease..
preciate it
 

Answers and Replies

  • #2
478
32
Factor and then use method of partial fractions.

[tex]\frac{3x+8}{x^2+5x+6} = \frac{A}{x+2} + \frac{B}{x+3}[/tex]

Take it from there.
 
  • #3
Thank you very much kind sir!
 
  • #4
478
32
You're welcome. Welcome to PF, by the way.
 

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