How to solve and ODE to find its solution
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1
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Salutations, I have a problem when I approach this ODE:
$$left(frac{y}{y'}right)^2+y^2=b^2left(x-frac{y}{y'}right)^2$$
I have done a series of steps as I show in these document:
My Procedure
But I'm not convinced that those were the correct steps neither solutions were adequated, and my question is:
How would be the mathematical steps to apply to find the correct solution of the ODE?
So, I would like any guidance or starting steps or explanations to find the solution of this interesting problem.
Thanks for your attention.
differential-equations proof-explanation
asked Dec 2 at 4:10
ht1204
213
add a comment |
up vote
1
down vote
favorite
Salutations, I have a problem when I approach this ODE:
$$left(frac{y}{y'}right)^2+y^2=b^2left(x-frac{y}{y'}right)^2$$
I have done a series of steps as I show in these document:
My Procedure
But I'm not convinced that those were the correct steps neither solutions were adequated, and my question is:
How would be the mathematical steps to apply to find the correct solution of the ODE?
So, I would like any guidance or starting steps or explanations to find the solution of this interesting problem.
Thanks for your attention.
differential-equations proof-explanation
asked Dec 2 at 4:10
ht1204
213
2
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Salutations, I have a problem when I approach this ODE:
$$left(frac{y}{y'}right)^2+y^2=b^2left(x-frac{y}{y'}right)^2$$
I have done a series of steps as I show in these document:
My Procedure
But I'm not convinced that those were the correct steps neither solutions were adequated, and my question is:
How would be the mathematical steps to apply to find the correct solution of the ODE?
So, I would like any guidance or starting steps or explanations to find the solution of this interesting problem.
Thanks for your attention.
differential-equations proof-explanation
asked Dec 2 at 4:10
ht1204
213
Salutations, I have a problem when I approach this ODE:
$$left(frac{y}{y'}right)^2+y^2=b^2left(x-frac{y}{y'}right)^2$$
I have done a series of steps as I show in these document:
My Procedure
But I'm not convinced that those were the correct steps neither solutions were adequated, and my question is:
How would be the mathematical steps to apply to find the correct solution of the ODE?
So, I would like any guidance or starting steps or explanations to find the solution of this interesting problem.
Thanks for your attention.
differential-equations proof-explanation
differential-equations proof-explanation
asked Dec 2 at 4:10
ht1204
213
asked Dec 2 at 4:10
ht1204
213
edited Dec 2 at 5:17
asked Dec 2 at 4:10
ht1204
213
asked Dec 2 at 4:10
ht1204
213
asked Dec 2 at 4:10
ht1204
213
213
2
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47
add a comment |
2
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47
2
2
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47
add a comment |
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2
Please use Latex to write your work. Pictures are not ideal.
– Jean-Luc Bouchot
Dec 2 at 5:14
The last step in your first image doesn't make sense. Everything is wrong from there.
– Dylan
Dec 2 at 6:01
Surely Mr. Dylan, that's why I'm confused in my procedure, this is first time that I see an ODE like this. So, what do you suggest? any help and suggestion is welcome.
– ht1204
Dec 2 at 19:47