First order PDE [closed]












1














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.



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










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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.













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












  • 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
    – K.doe
    Dec 4 '18 at 18:58












  • 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?
    – Rafa Budría
    Dec 4 '18 at 20:08












  • 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
    – K.doe
    Dec 4 '18 at 23:01












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
















1














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













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.













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












  • 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
    – K.doe
    Dec 4 '18 at 18:58












  • 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?
    – Rafa Budría
    Dec 4 '18 at 20:08












  • 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
    – K.doe
    Dec 4 '18 at 23:01












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














1












1








1


1





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













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.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.












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












  • 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
    – K.doe
    Dec 4 '18 at 18:58












  • 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?
    – Rafa Budría
    Dec 4 '18 at 20:08












  • 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
    – K.doe
    Dec 4 '18 at 23:01












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


















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












  • 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
    – K.doe
    Dec 4 '18 at 18:58












  • 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?
    – Rafa Budría
    Dec 4 '18 at 20:08












  • 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
    – K.doe
    Dec 4 '18 at 23:01












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
















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






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














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
– K.doe
Dec 4 '18 at 18:58






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
– K.doe
Dec 4 '18 at 18:58














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?
– Rafa Budría
Dec 4 '18 at 20:08






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?
– Rafa Budría
Dec 4 '18 at 20:08














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
– K.doe
Dec 4 '18 at 23:01






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
– K.doe
Dec 4 '18 at 23:01














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




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










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