Quiz Chapter 10.01: Introduction to Partial Differential Equations

MULTIPLE CHOICE TEST

(All Tests)

INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

(More on Introduction to Partial Differential Equations)

PARTIAL DIFFERENTIAL EQUATIONS

(More on Partial Differential Equations)

Pick the most appropriate answer

1. A partial differential equation requires

 
 
 
 

2. Using substitution, which of the following equations are solutions to the partial differential equation:

      • \dfrac{\partial^{2}u}{\partial x^{2}} = 9 \dfrac{\partial^{2}u}{\partial y^{2}}
 
 
 
 

3. The partial differential equation:

      • 5 \dfrac{\partial^{2} z}{\partial x^{2}} + 6 \dfrac{\partial^{2} z}{\partial y^{2}} = xy

is classified as

 
 
 
 

4. The partial differential equation

      • xy \dfrac{\partial z}{\partial x} = 5 \dfrac{\partial^{2} z}{\partial y^{2}}

is classfied as

 
 
 
 

5. The partial differential equation

      • \dfrac{\partial^{2} z}{\partial x^{2}} - 5 \dfrac{\partial^{2} z}{\partial y^{2}} = 0

is classified as

 
 
 
 

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

      • \dfrac{\partial w}{\partial t} + \dfrac{\partial^{3} w}{\partial x^{3}} - 6w \dfrac{\partial w}{\partial x} = 0