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Solving partial of ODE to zero

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thavamaran

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Hi guys, I have attached my derivation in the image below. Im not solving the ode, but I need a relationship in this equation. To solve that, I need to make the final part which is
[-B/1.101e-17+BN(t)-\betaBN(t)]S(t)
to zero, is there anyway that I could make it zero, any theorem that could solve this, I need this very urgently, I am almost solving my own relationship in my system.

Please suggest what I can do. Thank you.
 

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    Derivation.JPG
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A relationship like this would more than likely come from the physics of the system you are modeling....so you need to understand the system physics...
rt
 

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