Conditional extremum with Lagrange multipliers
0
$begingroup$
I have the following problem :
Find the extremals of the functional :
![Problem]!](https://i.stack.imgur.com/mpgif.jpg)
where lampda is Lagrange multipliers
my question is how to solve the differential equation below
sorry L dont =0
![Solution]!](https://i.stack.imgur.com/5evJl.jpg)
calculus calculus-of-variations
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
$endgroup$
add a comment |
0
$begingroup$
I have the following problem :
Find the extremals of the functional :
where lampda is Lagrange multipliers
my question is how to solve the differential equation below
sorry L dont =0
calculus calculus-of-variations
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
$endgroup$
1
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31
add a comment |
0
0
0
$begingroup$
I have the following problem :
Find the extremals of the functional :
where lampda is Lagrange multipliers
my question is how to solve the differential equation below
sorry L dont =0
calculus calculus-of-variations
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
$endgroup$
I have the following problem :
Find the extremals of the functional :
where lampda is Lagrange multipliers
my question is how to solve the differential equation below
sorry L dont =0
calculus calculus-of-variations
calculus calculus-of-variations
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
edited Dec 17 '18 at 20:10
Ahmed Naji
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
asked Dec 17 '18 at 17:48
Ahmed NajiAhmed Naji
11
11
1
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31
add a comment |
1
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31
1
1
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31
add a comment |
0
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1
$begingroup$
Can you solve the $y''+y=0$ equation, for example?
$endgroup$
– Botond
Dec 17 '18 at 20:22
$begingroup$
I can't since I don't know the form of "lampda" which is Lagrange-multipliers which is function w.r.t.x
$endgroup$
– Ahmed Naji
Dec 18 '18 at 18:31