Please someone helps derive the pressure equation in brake line?

Please Please someone helps me derive this equation of pressure inside brake line in differential way with and without valve. If it's possible, please derive flow rate in master cylinder flowing into brake line.
Please Please someone helps me.

Answers:
If you are serious - Brake pedal travel times area of brake master cylinder (taking the pedal travel to be equal to the master cylinder piston travel/or adjust piston travel in the calculation. The answer you get will be the amount of fluid that is displaced from the brake master cylinder into the brake line. (don't know what valve you mean?) Any help?
HUH WAT GRADE ARE U IN?????.

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