aliboyo

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These are questions asked by aliboyo

First time maple user here,

I have a set of equations, as follows

u_o = u-(diff(v(x), x)) . y-(diff(w(x), x)) . z

v__o = v-phi . z

w__o = w+phi . y

 

where u,v,w are all differentiable w.r.t. x,y,z. I want to evaluate the partial derivative of each of these three expressions w.r.t. x,y,z.

For example, epsilon = Diff(u__o,x) (this is supposed to be a partial derivative)

When I try epsilon = diff(uo, x), i get this epsilon = -(diff(v(x), x, x)) . y-(diff(w(x), x, x)) . z

which is evaluating u as a constant but not giving me Diff(u,x)

when I try using convert((D(uo))(x), diff), I get diff(u(x), x)-(diff(diff((v(x))(x), x), x)) . y(x)-(diff((v(x))(x), x)) . (diff(y(x), x))-(diff(diff((w(x))(x), x), x)) . z(x)-(diff((w(x))(x), x)) . (diff(z(x), x))

which doesn't know that Diff(y,x)=0

How can I evaluate these expressions appropriately?

Any help will be greatly appreciated!

 

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