Recent content by CrimsnDragn

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    How Does the Substitution x=es, y=et Transform the PDE for f(x,y)?

    Homework Statement the substitution x=es, y=et converts f(x,y) into g(s,t) where g(s,t)=f(es, et). If f is known to satisfy the partial differential equation x2(d2f/dx2) + y2(d2f/dy2) + x(df/dx) + y(df/dy) = 0 show that g satisfies the partial-differential equation (d2g/ds2) + (d2g/dt2) = 0...
  2. C

    Prove jacobian matrix is identity of matrix of order 3

    awesome. thanks!
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    Prove jacobian matrix is identity of matrix of order 3

    *typo on D2f(x,y,z) = j actually I was just rethinking about the problem. could Df(x,y,z) = ((1,0,0),(0,1,0),(0,0,1)), which becomes an identity matrix, and the order of 3 refers to 3x3 matrix?
  4. C

    Prove jacobian matrix is identity of matrix of order 3

    If f(x,y,z) = xi + yj +zk, prove that Jacobian matrix Df(x,y,z) is the identity matrix of order 3. Because the D operator is linear, D1f(x,y,z) = i, D2f(x,y,z) = k, D3f(x,y,z) = k There is clearly a relationship between this and some sort of identity, but I'm not sure how to state it, and...
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