MULTIPLE CHOICE TEST 
BACKGROUND

ORDINARY DIFFERENTIAL EQUATIONS 
Pick the most appropriate answer. 
Q1. The differential equation
is
linear linear with fixed constants undeterminable to be linear or nonlinear Q2. A differential equation is considered to be ordinary if it has one dependent variable more than one dependent variable
one
independent variable Q3. Given ,
y(2) most
nearly is Q4. The form of the exact solution to
is
Q5. The following nonlinear differential equation can be solved exactly by separation of variables.
The value of θ(100) most nearly is 99.99 909.10 1000.32 1111.10 Q6. 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/kgK emmittance=0.85 StefanBoltzman constant=5.67E8 J/sm^2K^4 ambient temperature=300K convection coefficient to air=350 J/sm^2K. The differential equation governing the temperature, of the ball as a function of time, t is given by

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. 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, 0717624, 0836981, 0836916, 0836805, 1322586. 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. Based on a work at http://mathforcollege.com/nm. Holistic Numerical Methods licensed under a Creative Commons AttributionNonCommercialNoDerivs 3.0 Unported License. 
