The following series of questions are regarding the crossword puzzle at the end of Stanley Farlow's Partial Differential Equations for Scientists and Engineers. (Home-school mom here, who thought it would be "fun" to assign this crossword puzzle, but then realized, I did not have the answer key. Oops.) So your help is greatly appreciated.#14 Across: uxx + ux + uy - 0 is a ______differential equation. 6. The author of a famous text on PDE.7. In order for separation of variables to work, the PDE must be10. A first-order equation of the form u, + fx = 0 is called aequation.12.When we solve Laplace's equation in polar coordinates by sepa-ration of variables, the ODE in r is named after this man.13. The equation un =U is commonly called theequation.differential14) The equation ux+u+u, - 0 is aequation.=Duxxvu, is by16. A useful way to solve the equation u,coordinates.19.) The equation u,=Uxx is commonly called theequation.method.22. The Crank-Nicolson method is an.24.) Theof a BVP quite often are proportional tothe natural frequencies of the problem.27. When solving Laplace's equation in spherical coordinates by sep-aration of variables, the ODE in is called.equation.Bessel?28.) The potential due to a point charge is calledfunction.(29) The most basic idea behind the solution to linear problems is33. A method of minimizing functionals by replacing the functions bypolynomials is due to35) If the dependent variable is found explicitly as a function of theindependent variables of the problem, we have an.solution.38.A famous mathematician/physicist responsible for the discovery ofcalculus and some differential equations.40.The quantity that measures the difference between a function ata point and its surrounding points.41.The basic vibrations of a membrane are called thesolutions.- PDE Crossword PuzzleFaperyXXXX0nservatii NININKAS VAR WAV13181920n+24cit²Be16mngeving22023,PL25t22ege dres2930313738I'Newton|of|uammentalVIXIXINAXINIA2826XA b8mogeneous132H343539aplacianXIXIX36

The given Partial differential equation is uxx+ux+uy-0. To find: the type of given Partial…

Answered: 14 Across: uxx + ux + uy - 0 is a…

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14 Across: uxx + ux + uy - 0 is a ______differential equation.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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