Why should one read partial differential equations?
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In calculus we can read the "normal derivative", dfdx, as the rate of change of our function f with respect to x. With partial derivatives of multivariate functions it is very much the same, where computing ∂f∂x of say f(x,y) would be the the rate of change of f with respect to x, except here we assume that y is fixed, or constant, and vice versa for computing ∂f∂y.
How does one move on from this concept to reading a partial differential equation? That is to say, if you were to write it out fully in english, what would be the correct way to do so? One example I am interested in is the wave equation,
∂2u∂t2=c2∂2u∂x2
Where c is the speed at which the wave travels
I hope this will help you
How does one move on from this concept to reading a partial differential equation? That is to say, if you were to write it out fully in english, what would be the correct way to do so? One example I am interested in is the wave equation,
∂2u∂t2=c2∂2u∂x2
Where c is the speed at which the wave travels
I hope this will help you
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