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First order differential equation with arbitrary source

0

$begingroup$

I am interested in the solution of the first-order differential equation,

$fracdydx=sqrtF(x)^2- m^2 y^2$

where $F(x)$ is some arbitrary function of $x$ and where $m$ is some fixed constant. I understand the perturbative expansion at large $m$, however, I was interested if anything is known about an exact solution.

ordinary-differential-equations

share|cite|improve this question

edited Mar 27 at 20:07

Luca Iliesiu

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

$endgroup$

add a comment | 

0

$begingroup$

I am interested in the solution of the first-order differential equation,

$fracdydx=sqrtF(x)^2- m^2 y^2$

where $F(x)$ is some arbitrary function of $x$ and where $m$ is some fixed constant. I understand the perturbative expansion at large $m$, however, I was interested if anything is known about an exact solution.

ordinary-differential-equations

share|cite|improve this question

edited Mar 27 at 20:07

Luca Iliesiu

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

$endgroup$

add a comment | 

$begingroup$

I am interested in the solution of the first-order differential equation,

$fracdydx=sqrtF(x)^2- m^2 y^2$

where $F(x)$ is some arbitrary function of $x$ and where $m$ is some fixed constant. I understand the perturbative expansion at large $m$, however, I was interested if anything is known about an exact solution.

ordinary-differential-equations

share|cite|improve this question

edited Mar 27 at 20:07

Luca Iliesiu

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

$endgroup$

share|cite|improve this question

edited Mar 27 at 20:07

Luca Iliesiu

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

share|cite|improve this question

edited Mar 27 at 20:07

Luca Iliesiu

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444

asked Mar 27 at 19:40

Luca IliesiuLuca Iliesiu

444