what is the solution for y in this peculiar ODE ?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A\left(y,x\right)=\frac{dy}{dx}+B(x)(1-y)[/tex]

with initial conditions :

[tex]\frac{dy}{dx}=\left0 \ldots , y=0[/tex]

[tex]\frac{dy}{dx}=\delta(x-x_{0})\ldots,y=1[/tex]

moreover

[tex]\int^{\infty}_{-\infty}Adx=\int^{\infty}_{-\infty}Bdx=1[/tex]

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# A strange ODE

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