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Solving linear first order differential equation with hard integralSolving nonlinear first order differential equationsSolving exact equations ? help pleaseFirst order ode integrating factorHelp with an Ordinary Differential EquationSolving a Non-Exact First-Order ODEFirst order differential equation,integrating factorSolving exact equations In ordinary differential equationsNonlinear first order differential equation (exact)Exact equations, First order differential equations

0

$begingroup$

If the equation M (x, y) dx + N (x, y) dy = 0 is such that

[x^2/(xM+yN)][(@N/@x)-(@M/@y)]= f(y/x)

show that an integrating factor is given by
m(x,y)=e^(∫F(u)du) , u=y/x

Using this result, solve the differential equation (2x - y + 2xy - y2) dx + (x + x2 + xy) dy = 0:

ordinary-differential-equations

share|cite|improve this question

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

$endgroup$

put on hold as off-topic by Travis, Eevee Trainer, Lord Shark the Unknown, mrtaurho, Parcly Taxel Mar 12 at 6:23

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Travis, Eevee Trainer, Lord Shark the Unknown, mrtaurho, Parcly Taxel

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Could you write the equation using latex?
  $endgroup$
  – Jens Wagemaker
  Mar 11 at 20:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Or MathJax, mostly the same thing. A reference -- math.meta.stackexchange.com/questions/5020/…
  $endgroup$
  – Eevee Trainer
  Mar 11 at 21:53
  

  
  
  
  

add a comment | 

0

$begingroup$

If the equation M (x, y) dx + N (x, y) dy = 0 is such that

[x^2/(xM+yN)][(@N/@x)-(@M/@y)]= f(y/x)

show that an integrating factor is given by
m(x,y)=e^(∫F(u)du) , u=y/x

Using this result, solve the differential equation (2x - y + 2xy - y2) dx + (x + x2 + xy) dy = 0:

ordinary-differential-equations

share|cite|improve this question

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

$endgroup$

put on hold as off-topic by Travis, Eevee Trainer, Lord Shark the Unknown, mrtaurho, Parcly Taxel Mar 12 at 6:23

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Travis, Eevee Trainer, Lord Shark the Unknown, mrtaurho, Parcly Taxel

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Could you write the equation using latex?
  $endgroup$
  – Jens Wagemaker
  Mar 11 at 20:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Or MathJax, mostly the same thing. A reference -- math.meta.stackexchange.com/questions/5020/…
  $endgroup$
  – Eevee Trainer
  Mar 11 at 21:53
  

  
  
  
  

add a comment | 

$begingroup$

If the equation M (x, y) dx + N (x, y) dy = 0 is such that

[x^2/(xM+yN)][(@N/@x)-(@M/@y)]= f(y/x)

show that an integrating factor is given by
m(x,y)=e^(∫F(u)du) , u=y/x

Using this result, solve the differential equation (2x - y + 2xy - y2) dx + (x + x2 + xy) dy = 0:

ordinary-differential-equations

share|cite|improve this question

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

$endgroup$

share|cite|improve this question

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

share|cite|improve this question

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102

asked Mar 11 at 20:24

Ceren BülbülCeren Bülbül

102