Non linear diff. equation example

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Discussion Overview

The discussion revolves around solving a first-order non-linear differential equation of the form a * y' + b * y^2 + c = 0, where a, b, and c are scalar constants. The focus is on the methods and steps involved in finding a solution.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant asks for help in solving the non-linear differential equation.
  • Another participant suggests that the equation is separable and provides a rewritten form of the equation.
  • A third participant requests clarification on how to proceed with the solution.
  • A later reply acknowledges the previous input with a simple expression of thanks.

Areas of Agreement / Disagreement

There is no consensus on the solution process as the discussion is still in the early stages, with participants seeking clarification and assistance.

bob j
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Hi All,
does anyone know how to solve the following first-order non-linear differential equation,

a * y' + b * y^2 + c = 0

where a,b,c are scalar constant values.

Thanks!
 
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It is separable.
Rewrite it as:
[tex]\frac{ay'}{by^{2}+c}=-1[/tex]
 
could u show me how?
 
ok, thanks
 

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