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The circuit video shows the complete solution of the DEQ and resulting plot of the solution, just like in the first video.
false. It does not show a plot of the DEQ solution.

The MKS units of voltage is
Volt

The MKS units of electrical current is
Ampere

The MKS units of resistance is
Ohm

The MKS units of inductance is
Henry

The MKS units of capacitance is
Farad

The DEQ for the electrical circuit has the dependent variable _____ and indepenent variable _____.
capacitor voltage, time

The DEQ for the electrical circuit is based on
Kirchhoff's voltage law

i(t)=v(t)/R is the currentvoltage relationship for a(an)
Resistor

i(t)=C*V(t)' is the currentvoltage relationship for a(an)
Capacitor

V(t)=L*i(t)' is the currentvoltage relationship for a(an)
Inductor

The second video derives the voltage across the _____ as a function of time.
Capacitor

The slidingmass video shows the solution of the DEQ using
the calculator and also shows a plot of the position vs time

the calculator and also shows a plot of the position vs time
a differential equation based on Newton's second law

Position is the integral of _____, assuming the appropriate constant of integration
velocity

Velocity is the rate of change of
position

Acceleration in F=m*a is
 all of these
 first derivative of the rate of change of position
 second derivative of position  y'' rate of change (first derivative) of velocity  v'

The mks unit of mass is ____ and acceleration is _____ in F=m*a is
kilograms, meters/second^2

The basic equation that describes the sliding mass is Newton's
2nd law: F=m*a

The free body diagram of the sliding mass contains _____ forces.
2

The damper force on the sliding mass is F =
b * y' where b is the damper constant and y' is the speed

The spring force on the sliding mass is F =
k * y where y is the horizontal position and k is the spring constant

The forces that act on the sliding mass are
spring and damper

The first video is about a mass sliding back and forth on a surface ____ friction. It is a top view. The mass is sliding horizontally.
without

Certain types of DEQs can the solved by using Laplace Transforms.
true

The calculator solutions of the DEQs in this quiz
can all be solved the same way.

Manual solutions of the DEQs typically
require different solution methods.

The solution of a DEQ usually
is a function or family/combination of functions

Is it true that a DEQ is any equation containing any number of derivatives or integrals?
yes

Eq 19 (ay"+by'+cy=d) is a DEQ of type
2nd order linear with constant coefficients and RHS not zero

Eq 18 (ay"+by'+cy=0) is a DEQ of type
2nd order linear with constant coefficients and RHS zero

Eq 17 (Py"+Qy'+Ry=S) is a DEQ of type
general 2nd order linear

Eq 16 (y'Py=Qy^n) is a DEQ of type
Bernouli

Eq 15 (y'+Py=Q) is a DEQ of type
1st order linear

In Eq14 M and N have the unique properties that are stated. M dx + N dy = 0 is a DEQ of type
Homegeneous 1st order

If either side of Eq13 ((xdyydx)/(x^2+y^2)=d(tan1(y/x))) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact

If either side of Eq12 (d(x/y)=(ydxxdy)/y^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact

If either side of Eq11 (d(y/x)=(xdyydx)/x^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact

d(xy)= x*dy + y*dx. If (x*dy + y*dx) occurs on one side of DEQ, and the other side is integrable, then the DEQ is of type
exact

y''=8x is a DEQ of type
2nd order separable

y'=7x is the same as dy=7x dx and is a DEQ of type
1st order separable


In Eq6 ((y')^2+y=3) the DEQ order is ___ and the degree is ____.
1,2

In Eq5 (3y"+4y'+5y=8) the DEQ order is ___ and the degree is ____.
2,1

In Eq4 (Dy+2x=3) the DEQ order is ___ and the degree is ____.
1,1

In Eq3 (y'+3xy=5) the DEQ order is ___ and the degree is ____.
1,1

Eq2 shows different ways of writing derivative with respect to x.
true and is second order

Equation1 in Figure 9065A shows different ways of writing derivative with respect to x
true and is first order

Is y''=4/x separable, exact, 1st order linear, Bernouli DEQ?
yes, no, no, no

Is y'+y/x=40x*y^2 separable, exact, 1st order linear, Bernouli DEQ?
no, no, no, yes

Is y'+x*y=83x separable, exact, 1st order linear, Bernouli DEQ?
yes, no, yes, no

Is y'+y/x=83x separable, exact, 1st order linear, Bernouli DEQ?
no, yes, yes, no

Almost all the manual work in finding DEQ solutions is in
the algebra

The type of DEQ that permits the easiest manual solution
variables can be separated

y*dx+x*dy is equivalent to ____ and may yield an exact DEQ.
* d(y/x)
* d(x/y)
* d(x*y)
d(x*y)

(y*dxx*dy)/y^2 is equivalent to ____ and may yield an exact DEQ.
* d(y/x)
* d(x/y)
* d(x*y)
d(x/y)

(x*dyy*dx)/x^2 is equivalent to ____ and may yield an exact DEQ.
* d(y/x)
* d(x/y)
* d(x*y)
d(y/x)

Constants of integration can be determined if ______ are known.
boundary conditions

The DEQ 5x+yyy'=0 will have _____ constants of integration.
1


C is the constant of integration. Replacing 9C with C is ok because C is
an unknown constant

If y=v*x, then dy=
v*dx+x*dv

The homogeneous DEQ (5x+y)dx + (y)dy = 0 can be manually solved if the substitution is introduced
y=v*x

Is xy homogeneous? Is x*y^2 homogeneous?
yes, no

If the DEQ M dx + N dy =0 where M & N are functions of x & y and M & N are homogeneous of the same degree, then the DEQ is
homogeneous

The DEQ (5x+y)dx + (y)dy = 0 is in the form
M dx + N dy =0

Is the DEQ 5x+yyy'=0 equivalent to: (5x+y)dx + (y)dy = 0?
yes

The following homogeneous DEQ can be recognized if put into this form
(5x+y)dx + (y)dy = 0

The slope of a solution of the DEQ (y'=xy^2) that passes through (2,1) is
1

The type of nonlinearity that limits the output signal when the input signal becomes too large or too small is called
saturation

The classic massspringdamper model is
linear and yields manual and TI89 solutions

The type of nonlinearity that has a one response when going up and a different response when going down is called
hysteresis

The solution of a DEQ is a
function

The DEQ (y'=xy^2) has been used for the past few HW exercises because

numerical integration is the only way to find the solution y(x)
 and
 elementary functions do not exist to describe y(x)

The slope of a solution of the 1storder DEQ (y'=xy^2) is xy^2 where x and y defines any point within the field.
true

The slope of a solution of the DEQ (y'=xy^2) that passes through (1,2) is
3

The DEQ (y'=xy^2) has no standard solution, but slope fields are easily computed, and slope fields permit visualization of all solutions.
true

The type of nonlinearity that has zero output signal when the input signal is near zero is called
dead zone

One way of visualizing many solutions of a DEQ, all in one graph is called
slope field

The solution of a DEQ depends on the starting point, which is also called
boundary condition

Linear models are used in engineering because they give
 solutions that are relatively easy to calculate.
 and
 a reasonable understanding of real engineering systems.

Numerical integration is required in the linear massspringdamper problem
false

Numerical integration is common in engineering, especially for
nonlinear models, which can accurately model real systems

How may different solutions exist for any DEQ?
infinite

Numerical integration is required when nonlinearities are inserted into the linear massspringdamper problem.
true

