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Mathematics

11th Grade - University

Differential Equations Slope Fields
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18 questions

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1.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

In drawing the slope field for the differential equation , I would place short slope lines of _________ at the points (0,1), (1,-1), and (2,-2)
  dydx=2x−3y\frac{dy}{dx}=2x-3y  

Select all that apply

-3

-1

2

5

10

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Which choice below represents this slope field?

dy/dx = 2x

dy/dx = -x

dy/dx = x

dy/dx = x2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which equation below represents the slope field?

dy/dx = x - 2

dy/dx = 1/2x + 1

dy/dx =1/2 y - 2

dy/dx = y + 2

4.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Which functions below will have the same slope field? (choose all that apply)

y = x2 - 3

y = x2 + 4

y = 2x - 5

y = 2x2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which slope field is represented by dy/dx = x2?

Media Image
Media Image
Media Image
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6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A puppy gains weight, w, at a rate approximately inversely proportional to its age, t, in months.

A

B

C

D

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

dy/dx = 4x/y.  Suppose y(0)=1
The particular solution is

B
C
D
E

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