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 MULTIPLE CHOICE TEST INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS PARTIAL DIFFERENTIAL EQUATIONS Pick the most appropriate answer.

Q1.  A partial differential equation requires

exactly one independent variable

two or more independent variables

more than one dependent variable

equal number of dependent and independent variables

Q2. Using substitution, which of the following equations are solutions to the partial differential equation?

Q3. The partial differential equation

is classified as

elliptic

parabolic

hyperbolic

none of the above

Q4. The partial differential equation

is classified as

elliptic

parabolic

hyperbolic

none of the above

Q5 The partial differential equation

is classified as

elliptic

parabolic

hyperbolic

none of the above

Q6.  The following is true for the following partial differential equation used in nonlinear mechanics known as the Korteweg-de Vries equation.

linear; 3rd order

nonlinear; 3rd order

linear; 1st order

nonlinear; 1st order

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