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Q1.
The differential equation
is
linear
nonlinear
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
more
than one independent variable
Q3. Given
 ,
y(2) most
nearly is
0.17643
0.29872
0.32046
0.58024
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/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
Complete Solution
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