Assessment Background of Ordinary Differential Equations

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MULTIPLE CHOICE TEST

(All Tests)

BACKGROUND

ORDINARY DIFFERENTIAL EQUATIONS

(More on Ordinary Differential Equations)

Pick the most appropriate answer.

The differential equation is

linear
nonlinear

linear with fixed constants

undeterminable to be linear or nonlinear

A differential equation is considered to be ordinary if it has

one dependent variable

more than one dependent variable

one independent variable
more than one independent variable

Given

then most nearly is
0.17643
0.29872
0.32045
0.58024

The form of the exact solution to

The following nonlinear differential equation can be solved exactly by separation of variables.

The value of most nearly is

-99.99

909.99

1000.32

1111.10

A spherical solid ball taken out of a furnace at 1200K is allowed to cool in air. Given the following

Radius of ball=2 cm

Density of the ball=7800 kg/m^3

Specific heat of the ball=420 J/kg-K

Emmittance=0.85

Stefan-Boltzman Constant=5.67E-8 J/s-m^2-K^4

Ambient Temperature=300K

Convection coefficient to air=350 J/s-m^2-K,

the differential equation governing the temperature, of the ball as a function of time, t is given by

Multiple choice questions on other topics

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.