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Exact equations | First order differential equations [on hold]


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:










share|cite|improve this question









$endgroup$



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















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:










share|cite|improve this question









$endgroup$



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













0












0








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:










share|cite|improve this question









$endgroup$




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













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 11 at 20:24









Ceren BülbülCeren Bülbül

102




102




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.







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
















  • $begingroup$
    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















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




$begingroup$
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




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










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