First order PDE [closed]












1












$begingroup$


Right ok I’m stuck on trying to solve this using method of characteristics. I have tried using $au_x + bu_y = c$ but because it’s an $yx^2$ I can’t go further.



$u_x + (yx^2 +x)u_y = 1$










share|cite|improve this question









$endgroup$



closed as off-topic by Saad, MisterRiemann, rtybase, Leucippus, John B Dec 5 '18 at 1:04


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." – MisterRiemann, rtybase, Leucippus, John B

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













  • $begingroup$
    Tell something about the context, why you want to solve it, what's your background...
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 16:39












  • $begingroup$
    It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
    $endgroup$
    – K.doe
    Dec 4 '18 at 18:58












  • $begingroup$
    The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 20:08












  • $begingroup$
    I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
    $endgroup$
    – K.doe
    Dec 4 '18 at 23:01












  • $begingroup$
    You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
    $endgroup$
    – Rafa Budría
    Dec 5 '18 at 7:39
















1












$begingroup$


Right ok I’m stuck on trying to solve this using method of characteristics. I have tried using $au_x + bu_y = c$ but because it’s an $yx^2$ I can’t go further.



$u_x + (yx^2 +x)u_y = 1$










share|cite|improve this question









$endgroup$



closed as off-topic by Saad, MisterRiemann, rtybase, Leucippus, John B Dec 5 '18 at 1:04


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." – MisterRiemann, rtybase, Leucippus, John B

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













  • $begingroup$
    Tell something about the context, why you want to solve it, what's your background...
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 16:39












  • $begingroup$
    It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
    $endgroup$
    – K.doe
    Dec 4 '18 at 18:58












  • $begingroup$
    The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 20:08












  • $begingroup$
    I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
    $endgroup$
    – K.doe
    Dec 4 '18 at 23:01












  • $begingroup$
    You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
    $endgroup$
    – Rafa Budría
    Dec 5 '18 at 7:39














1












1








1


1



$begingroup$


Right ok I’m stuck on trying to solve this using method of characteristics. I have tried using $au_x + bu_y = c$ but because it’s an $yx^2$ I can’t go further.



$u_x + (yx^2 +x)u_y = 1$










share|cite|improve this question









$endgroup$




Right ok I’m stuck on trying to solve this using method of characteristics. I have tried using $au_x + bu_y = c$ but because it’s an $yx^2$ I can’t go further.



$u_x + (yx^2 +x)u_y = 1$







pde






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 4 '18 at 15:12









K.doeK.doe

61




61




closed as off-topic by Saad, MisterRiemann, rtybase, Leucippus, John B Dec 5 '18 at 1:04


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." – MisterRiemann, rtybase, Leucippus, John B

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




closed as off-topic by Saad, MisterRiemann, rtybase, Leucippus, John B Dec 5 '18 at 1:04


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." – MisterRiemann, rtybase, Leucippus, John B

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












  • $begingroup$
    Tell something about the context, why you want to solve it, what's your background...
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 16:39












  • $begingroup$
    It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
    $endgroup$
    – K.doe
    Dec 4 '18 at 18:58












  • $begingroup$
    The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 20:08












  • $begingroup$
    I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
    $endgroup$
    – K.doe
    Dec 4 '18 at 23:01












  • $begingroup$
    You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
    $endgroup$
    – Rafa Budría
    Dec 5 '18 at 7:39


















  • $begingroup$
    Tell something about the context, why you want to solve it, what's your background...
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 16:39












  • $begingroup$
    It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
    $endgroup$
    – K.doe
    Dec 4 '18 at 18:58












  • $begingroup$
    The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
    $endgroup$
    – Rafa Budría
    Dec 4 '18 at 20:08












  • $begingroup$
    I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
    $endgroup$
    – K.doe
    Dec 4 '18 at 23:01












  • $begingroup$
    You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
    $endgroup$
    – Rafa Budría
    Dec 5 '18 at 7:39
















$begingroup$
Tell something about the context, why you want to solve it, what's your background...
$endgroup$
– Rafa Budría
Dec 4 '18 at 16:39






$begingroup$
Tell something about the context, why you want to solve it, what's your background...
$endgroup$
– Rafa Budría
Dec 4 '18 at 16:39














$begingroup$
It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
$endgroup$
– K.doe
Dec 4 '18 at 18:58






$begingroup$
It's an example question I don't understand. I got $a=1 b=yx^2 + x and c=1$ when I assign to the general case I don't know where I would go next
$endgroup$
– K.doe
Dec 4 '18 at 18:58














$begingroup$
The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
$endgroup$
– Rafa Budría
Dec 4 '18 at 20:08






$begingroup$
The solution can be expressed with elementary functions, but one of the two equations for the characteristics is complicated (The other being $u=x+c$). Too complicated. What is the example for?
$endgroup$
– Rafa Budría
Dec 4 '18 at 20:08














$begingroup$
I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
$endgroup$
– K.doe
Dec 4 '18 at 23:01






$begingroup$
I'm a student and it's just an example that was asked to work on in own time.. I know how to go about it if it didn't include $x^2$ looking for help starting it off then I can continue to work through
$endgroup$
– K.doe
Dec 4 '18 at 23:01














$begingroup$
You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
$endgroup$
– Rafa Budría
Dec 5 '18 at 7:39




$begingroup$
You have an answer, the two equations for the characteristics, in my previous comment. Only need one step more for the general solution.
$endgroup$
– Rafa Budría
Dec 5 '18 at 7:39










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