Mixing
Bernoulli differential equation alike
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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
asked Jan 24 at 12:49
BoundedBounded
185
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add a comment |
$begingroup$
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
asked Jan 24 at 12:49
BoundedBounded
185
$endgroup$
add a comment |
$begingroup$
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
asked Jan 24 at 12:49
BoundedBounded
185
$endgroup$
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
asked Jan 24 at 12:49
BoundedBounded
185
asked Jan 24 at 12:49
BoundedBounded
185
asked Jan 24 at 12:49
BoundedBounded
185
asked Jan 24 at 12:49
BoundedBounded
185
asked Jan 24 at 12:49
BoundedBounded
185
185
add a comment |
add a comment |
1 Answer
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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.
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
$endgroup$
$begingroup$
Thanks! For my purposes it will suffice to be able to solve it numerically
$endgroup$
– Bounded
Jan 24 at 13:25
add a comment |
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1 Answer
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1 Answer
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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.
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
$endgroup$
$begingroup$
Thanks! For my purposes it will suffice to be able to solve it numerically
$endgroup$
– Bounded
Jan 24 at 13:25
add a comment |
$begingroup$
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.
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
$endgroup$
$begingroup$
Thanks! For my purposes it will suffice to be able to solve it numerically
$endgroup$
– Bounded
Jan 24 at 13:25
add a comment |
$begingroup$
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.
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
$endgroup$
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.
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
answered Jan 24 at 12:57
Robert IsraelRobert Israel
327k23216470
327k23216470
$begingroup$
Thanks! For my purposes it will suffice to be able to solve it numerically
$endgroup$
– Bounded
Jan 24 at 13:25
add a comment |
$begingroup$
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
add a comment |
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