Bernoulli differential equation alike












0












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I am quite new to differential equations and I have the following
$$
partial u(x)/partial x = a(x)u(x)^2+b(x)u(x)+c(x)
$$
which is, to the best of my knowledge, not exactly a Bernoulli differential equation because of $c(x)$. Does anyone know which kind of equation is the one above and how to solve it? Thanks






differential







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    0












    $begingroup$


    I am quite new to differential equations and I have the following
    $$
    partial u(x)/partial x = a(x)u(x)^2+b(x)u(x)+c(x)
    $$
    which is, to the best of my knowledge, not exactly a Bernoulli differential equation because of $c(x)$. Does anyone know which kind of equation is the one above and how to solve it? Thanks






    differential







    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I am quite new to differential equations and I have the following
      $$
      partial u(x)/partial x = a(x)u(x)^2+b(x)u(x)+c(x)
      $$
      which is, to the best of my knowledge, not exactly a Bernoulli differential equation because of $c(x)$. Does anyone know which kind of equation is the one above and how to solve it? Thanks






      differential







      share|cite|improve this question









      $endgroup$




      I am quite new to differential equations and I have the following
      $$
      partial u(x)/partial x = a(x)u(x)^2+b(x)u(x)+c(x)
      $$
      which is, to the best of my knowledge, not exactly a Bernoulli differential equation because of $c(x)$. Does anyone know which kind of equation is the one above and how to solve it? Thanks






      differential




      differential






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      asked Jan 24 at 12:49









      BoundedBounded

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          $begingroup$

          This is a Riccati differential equation. There is no known way to solve it in general, but there are some strategies that work in many cases. You might look at this Maple help page.






          share|cite|improve this answer









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          • $begingroup$
            Thanks! For my purposes it will suffice to be able to solve it numerically
            $endgroup$
            – Bounded
            Jan 24 at 13:25











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          1 Answer
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          1 Answer
          1






          active

          oldest

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          active

          oldest

          votes






          active

          oldest

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          2












          $begingroup$

          This is a Riccati differential equation. There is no known way to solve it in general, but there are some strategies that work in many cases. You might look at this Maple help page.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Thanks! For my purposes it will suffice to be able to solve it numerically
            $endgroup$
            – Bounded
            Jan 24 at 13:25
















          2












          $begingroup$

          This is a Riccati differential equation. There is no known way to solve it in general, but there are some strategies that work in many cases. You might look at this Maple help page.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Thanks! For my purposes it will suffice to be able to solve it numerically
            $endgroup$
            – Bounded
            Jan 24 at 13:25














          2












          2








          2





          $begingroup$

          This is a Riccati differential equation. There is no known way to solve it in general, but there are some strategies that work in many cases. You might look at this Maple help page.






          share|cite|improve this answer









          $endgroup$



          This is a Riccati differential equation. There is no known way to solve it in general, but there are some strategies that work in many cases. You might look at this Maple help page.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 24 at 12:57









          Robert IsraelRobert Israel

          327k23216470




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          • $begingroup$
            Thanks! For my purposes it will suffice to be able to solve it numerically
            $endgroup$
            – Bounded
            Jan 24 at 13:25


















          • $begingroup$
            Thanks! For my purposes it will suffice to be able to solve it numerically
            $endgroup$
            – Bounded
            Jan 24 at 13:25
















          $begingroup$
          Thanks! For my purposes it will suffice to be able to solve it numerically
          $endgroup$
          – Bounded
          Jan 24 at 13:25




          $begingroup$
          Thanks! For my purposes it will suffice to be able to solve it numerically
          $endgroup$
          – Bounded
          Jan 24 at 13:25


















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