query: Use the chain rule to convert the Laplace equation in (x,y) coordinates into an equivilent differental equation in (r,theta) coordinates.
positive_passages.docid: 16443
positive_passages.text: Laplacian in polar coordinates
negative_passages.docid: 11205
negative_passages.text: Computing second partial derivative with polar coordinates
negative_passages.docid: 15025
negative_passages.text: Solve $xu_x+(x+y)u_y=1$ when $u(1,y)=y$
negative_passages.docid: 104171
negative_passages.text: Geometric derivation of wave equation
negative_passages.docid: 80394
negative_passages.text: Find an equation in spherical coordinates for the surface represented by the rectangular equation
negative_passages.docid: 18565
negative_passages.text: Analogue for Maple's dchange - change of variables in differential expressions
negative_passages.docid: 86767
negative_passages.text: Using separation of variables to solve the wave equation
negative_passages.docid: 63802
negative_passages.text: Parametric Equation of a Circle Using a Line
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 152106
negative_passages.text: Laplace inverse of the sine function
negative_passages.docid: 63705
negative_passages.text: Show that rodriques formula is a linear transformation?
negative_passages.docid: 127034
negative_passages.text: Let $\rho(x,y)= \frac{d(x,y)}{1+d(x,y)}$, show that $\rho$ is a metric equivalent to $d$
negative_passages.docid: 46445
negative_passages.text: Equation of a helix parametrized by arc length between two points in space
negative_passages.docid: 116314
negative_passages.text: On-shell and off-shell transformations in Noether's theorem
negative_passages.docid: 102838
negative_passages.text: How do I integrate the Poisson equation to determine the electric potential along a particular direction (e.g., $z$)?
negative_passages.docid: 119270
negative_passages.text: Finding equation using hyperbolic transcendental functions.
negative_passages.docid: 134510
negative_passages.text: How do you get $\rm{var}(\Theta -\hat\theta) = \rm{var}(\Theta)$?