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Is this equation always verified?

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Please, could you help me on finding if the attached equation is always verified?

 

Thank you!

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Please, could you help me on finding if the attached equation is always verified?
Then the equation you posted is correct, and this can be verified by simply adding [math]\frac{\partial w(t,y)}{\partial y^2}\cdot\frac{\partial u(t,y)}{\partial y^2}[/math] to both sides of the equation you posted.

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