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Deck 6: Section 3: Differential Equations
Full screen (f)
Question
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the homogeneous differential equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
A calf that weighs 75 pounds at birth gains weight at the rate 
where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model 
. Round your answer to two decimal places.
A) 8.17 years
B) 2.88 years
C) 0.92 year
D) 1 year
E) 0.32 year
where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model . Round your answer to two decimal places.A) 8.17 years
B) 2.88 years
C) 0.92 year
D) 1 year
E) 0.32 year
Question
Find the general solution of the differential equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
A calf that weighs 70 pounds at birth gains weight at the rate 
where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for 
A)
B)
C)
D)
E)
where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for A)
B)
C)
D)
E)
Question
Find the particular solution of the differential equation 
that satisfies the initial condition 
.
A)
B)
C)
D)
E)
that satisfies the initial condition .A)
B)
C)
D)
E)
Question
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the orthogonal trajectories of the family 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find an equation of the graph that passes through the point (7, 3) and has the slope 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Determine whether the function 
is homogeneous and determine its degree if it is.
A) homogeneous, the degree is 4
B) homogeneous, the degree is 5
C) not homogeneous
D) homogeneous, the degree is 3
E) homogeneous, the degree is 2
is homogeneous and determine its degree if it is.A) homogeneous, the degree is 4
B) homogeneous, the degree is 5
C) not homogeneous
D) homogeneous, the degree is 3
E) homogeneous, the degree is 2
Question
Find the orthogonal trajectories of the family 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
A calf that weighs 80 pounds at birth gains weight at the rate 
where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model 
?
A) 1500 lb
B) 880 lb
C) 1420 lb
D) 1580 lb
E) 2300 lb
where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model ?A) 1500 lb
B) 880 lb
C) 1420 lb
D) 1580 lb
E) 2300 lb
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Deck 6: Section 3: Differential Equations
1
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Solve the homogeneous differential equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
3
A calf that weighs 75 pounds at birth gains weight at the rate where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model . Round your answer to two decimal places.
A) 8.17 years
B) 2.88 years
C) 0.92 year
D) 1 year
E) 0.32 year
where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model . Round your answer to two decimal places.A) 8.17 years
B) 2.88 years
C) 0.92 year
D) 1 year
E) 0.32 year
1 year
4
Find the general solution of the differential equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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5
A calf that weighs 70 pounds at birth gains weight at the rate where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for
A)
B)
C)
D)
E)
where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for A)
B)
C)
D)
E)
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6
Find the particular solution of the differential equation that satisfies the initial condition .
A)
B)
C)
D)
E)
that satisfies the initial condition .A)
B)
C)
D)
E)
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Unlock for access to all 12 flashcards in this deck.
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7
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
8
Find the orthogonal trajectories of the family .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 12 flashcards in this deck.
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9
Find an equation of the graph that passes through the point (7, 3) and has the slope .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
10
Determine whether the function is homogeneous and determine its degree if it is.
A) homogeneous, the degree is 4
B) homogeneous, the degree is 5
C) not homogeneous
D) homogeneous, the degree is 3
E) homogeneous, the degree is 2
is homogeneous and determine its degree if it is.A) homogeneous, the degree is 4
B) homogeneous, the degree is 5
C) not homogeneous
D) homogeneous, the degree is 3
E) homogeneous, the degree is 2
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Unlock for access to all 12 flashcards in this deck.
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11
Find the orthogonal trajectories of the family .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
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12
A calf that weighs 80 pounds at birth gains weight at the rate where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model ?
A) 1500 lb
B) 880 lb
C) 1420 lb
D) 1580 lb
E) 2300 lb
where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model ?A) 1500 lb
B) 880 lb
C) 1420 lb
D) 1580 lb
E) 2300 lb
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
