# exam 3 ENT 300

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1. 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.
2. The MKS units of voltage is
Volt
3. The MKS units of electrical current is
Ampere
4. The MKS units of resistance is
Ohm
5. The MKS units of inductance is
Henry
6. The MKS units of capacitance is
7. The DEQ for the electrical circuit has the dependent variable _____ and indepenent variable _____.
capacitor voltage, time
8. The DEQ for the electrical circuit is based on
Kirchhoff's voltage law
9. i(t)=v(t)/R is the current-voltage relationship for a(an)
Resistor
10. i(t)=C*V(t)' is the current-voltage relationship for a(an)
Capacitor
11. V(t)=L*i(t)' is the current-voltage relationship for a(an)
Inductor
12. The second video derives the voltage across the _____ as a function of time.
Capacitor
13. The sliding-mass video shows the solution of the DEQ using
the calculator and also shows a plot of the position vs time
14. the calculator and also shows a plot of the position vs time
a differential equation based on Newton's second law
15. Position is the integral of _____, assuming the appropriate constant of integration
velocity
16. Velocity is the rate of change of
position
17. 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'
18. The mks unit of mass is ____ and acceleration is _____ in F=m*a is
kilograms, meters/second^2
19. The basic equation that describes the sliding mass is Newton's
2nd law: F=m*a
20. The free body diagram of the sliding mass contains _____ forces.
2
21. The damper force on the sliding mass is F =
b * y' where b is the damper constant and y' is the speed
22. The spring force on the sliding mass is F =
k * y where y is the horizontal position and k is the spring constant
23. The forces that act on the sliding mass are
spring and damper
24. 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
25. Certain types of DEQs can the solved by using Laplace Transforms.
true
26. The calculator solutions of the DEQs in this quiz
can all be solved the same way.
27. Manual solutions of the DEQs typically
require different solution methods.
28. The solution of a DEQ usually
is a function or family/combination of functions
29. Is it true that a DEQ is any equation containing any number of derivatives or integrals?
yes
30. Eq 19 (ay"+by'+cy=d) is a DEQ of type
2nd order linear with constant coefficients and RHS not zero
31. Eq 18 (ay"+by'+cy=0) is a DEQ of type
2nd order linear with constant coefficients and RHS zero
32. Eq 17 (Py"+Qy'+Ry=S) is a DEQ of type
general 2nd order linear
33. Eq 16 (y'-Py=Qy^n) is a DEQ of type
Bernouli
34. Eq 15 (y'+Py=Q) is a DEQ of type
1st order linear
35. In Eq-14  M and N have the unique properties that are stated. M dx + N dy = 0 is a DEQ of type
Homegeneous 1st order
36. If either side of Eq-13 ((xdy-ydx)/(x^2+y^2)=d(tan-1(y/x))) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact
37. If either side of Eq-12 (d(x/y)=(ydx-xdy)/y^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact
38. If either side of Eq-11 (d(y/x)=(xdy-ydx)/x^2) occurs on one side of a DEQ, and the other side is integrable, then the DEQ is of type
exact
39. 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
40. y''=8x is a DEQ of type
2nd order separable
41. y'=7x is the same as dy=7x dx and is a DEQ of type
1st order separable
42. Is y'' = (y')^2
never
43. In Eq-6 ((y')^2+y=3) the DEQ order is ___ and the degree is ____.
1,2
44. In Eq-5 (3y"+4y'+5y=8) the DEQ order is ___ and the degree is ____.
2,1
45. In Eq-4 (Dy+2x=3) the DEQ order is ___ and the degree is ____.
1,1
46. In Eq-3 (y'+3xy=5)  the DEQ order is ___ and the degree is ____.
1,1
47. Eq-2 shows different ways of writing derivative with respect to x.
true and is second order
48. Equation-1 in Figure 9065A shows different ways of writing derivative with respect to x
true and is first order
49. Is y''=4/x separable, exact, 1st order linear, Bernouli DEQ?
yes, no, no, no
50. Is y'+y/x=-40x*y^2 separable, exact, 1st order linear, Bernouli DEQ?
no, no, no, yes
51. Is y'+x*y=83x separable, exact, 1st order linear, Bernouli DEQ?
yes, no, yes, no
52. Is y'+y/x=83x separable, exact, 1st order linear, Bernouli DEQ?
no, yes, yes, no
53. Almost all the manual work in finding DEQ solutions is in
the algebra
54. The type of DEQ that permits the easiest manual solution
variables can be separated
55. 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)
56. (y*dx-x*dy)/y^2 is equivalent to ____ and may yield an exact DEQ.
* d(y/x)
* d(x/y)
* d(x*y)
d(x/y)
57. (x*dy-y*dx)/x^2 is equivalent to ____ and may yield an exact DEQ.
* d(y/x)
* d(x/y)
* d(x*y)
d(y/x)
58. Constants of integration can be determined if ______ are known.
boundary conditions
59. The DEQ 5x+y-yy'=0 will have _____ constants of integration.
1
60. ln(A) + ln(B) =
ln(A*B)
61. C is the constant of integration. Replacing 9C with C is ok because C is
an unknown constant
62. If y=v*x, then dy=
v*dx+x*dv
63. The homogeneous DEQ (5x+y)dx + (-y)dy = 0 can be manually solved if the substitution is introduced
y=v*x
64. Is xy homogeneous? Is x*y^2 homogeneous?
yes, no
65. 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
66. The DEQ (5x+y)dx + (-y)dy = 0 is in the form
M dx + N dy =0
67. Is the DEQ 5x+y-yy'=0 equivalent to: (5x+y)dx + (-y)dy = 0?
yes
68. The following homogeneous DEQ can be recognized if put into this form
(5x+y)dx + (-y)dy = 0
69. The slope of a solution of the DEQ (y'=x-y^2) that passes through (2,1) is
1
70. The type of nonlinearity that limits the output signal when the input signal becomes too large or too small is called
saturation
71. The classic mass-spring-damper model is
linear and yields manual and TI-89 solutions
72. The type of nonlinearity that has a one response when going up and a different response when going down is called
hysteresis
73. The solution of a DEQ is a
function
74. The DEQ (y'=x-y^2) has been used for the past few HW exercises because
75. numerical integration is the only way to find the solution y(x)
• and
• elementary functions do not exist to describe y(x)
76. The slope of a solution of the 1st-order DEQ (y'=x-y^2) is x-y^2 where x and y defines any point within the field.
true
77. The slope of a solution of the DEQ (y'=x-y^2) that passes through (1,2) is
-3
78. The DEQ (y'=x-y^2) has no standard solution, but slope fields are easily computed, and slope fields permit visualization of all solutions.
true
79. The type of nonlinearity that has zero output signal when the input signal is near zero is called
80. One way of visualizing many solutions of a DEQ, all in one graph is called
slope field
81. The solution of a DEQ depends on the starting point, which is also called
boundary condition
82. Linear models are used in engineering because they give
• solutions that are relatively easy to calculate.
• and
• a reasonable understanding of real engineering systems.
83. Numerical integration is required in the linear mass-spring-damper problem
false
84. Numerical integration is common in engineering, especially for
nonlinear models, which can accurately model real systems
85. How may different solutions exist for any DEQ?
infinite
86. Numerical integration is required when non-linearities are inserted into the linear mass-spring-damper problem.
true
 Author: lacythecoolest ID: 310854 Card Set: exam 3 ENT 300 Updated: 2015-11-16 02:09:30 Tags: engineering math Folders: Description: 3rd exam Show Answers: