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Fluid Dynamics: The Navier-Stokes Equations
Fluid Dynamics: The Navier-Stokes Equations

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... The only physically significant quantity is the change in potential energy, and not the absolute value of the potential energy. For this reason, in problem solving, we usually choose a convenient point (table top level, ground level, sea level, etc.) and set the potential energy at this level to be ...
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... Adding the two equations gives −u′2 e−2x = 4ex , from which we find that u′2 = −4e3x . Plugging this into the first of the two equations gives u′1 e−x = 4e3x e−2x , so that u′1 = 4e2x . We deduce that u1 = 2e2x and u2 = − 43 e3x , so that a particular solution is given by ...
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Quiz 10
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Hooke's law

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