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Help me with this ordinary differential equation

  • Thread starter ENgez
  • Start date
  • #1
75
0

Homework Statement


I need to find a general function y(x) such that:
[tex] \dot y(x) - 2y(x) = y^2(x)-3 [/tex]


Homework Equations





The Attempt at a Solution


I tried dividing the equation by [tex] y^2-3 [/tex] and turn it in to a Bernoulli differential equation, but that didn't work. The equation seems relatively simple yet i can't recall any method to solve it. Please help.
 

Answers and Replies

  • #2
33,182
4,860
It's separable. dy/dx = y2 + 2y - 3 ==> dy/(y2 + 2y - 3) = dx
 
  • #3
75
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How could i not see that!! i solved it, tnx alot. :)
 

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