08 - Slope Fields.ks-ic - Kuta Software

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Kuta Software - Infinite Calculus. Name___________________________________. Period____. Date________________. Slope Fiel
Kuta Software - Infinite Calculus

Name___________________________________

Slope Fields

Date________________ Period____

Sketch the slope field for each differential equation. dy =x dx

1)

2)

x dy =− dx y

y

−2

y

2

2

1.5

1.5

1

1

0.5

0.5

−1

1

2 x

−2

−1

1

−0.5

−0.5

−1

−1

−1.5

−1.5

−2

−2

2 x

For each problem, find a differential equation that could be represented with the given slope field. 3)

4) y

−3

−2

y

3

3

2.5

2.5

2

2

1.5

1.5

1

1

0.5

0.5

−1

1 −0.5

1 dy =− dx x dy C) =1 dx A)

2

3 x

−3

−2

−1

1

−1

−1

−1.5

−1.5

−2

−2

−2.5

−2.5

−3

−3

1 dy =− dx y dy 2 D) =y dx B)

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2

−0.5

dy =x+ y dx dy C) = xy dx

A)

3 x

dy =x− y dx dy D) = − xy dx

B)

Worksheet by Kuta Software LLC

Kuta Software - Infinite Calculus

Name___________________________________

Slope Fields

Date________________ Period____

Sketch the slope field for each differential equation. dy =x dx

1)

2)

x dy =− dx y

y

−2

y

2

2

1.5

1.5

1

1

0.5

0.5

−1

1

2 x

−2

−1

1

−0.5

−0.5

−1

−1

−1.5

−1.5

−2

−2

2 x

For each problem, find a differential equation that could be represented with the given slope field. 3)

4) y

−3

−2

y

3

3

2.5

2.5

2

2

1.5

1.5

1

1

0.5

0.5

−1

1 −0.5

1 dy =− dx x dy C) =1 dx A)

2

3 x

−3

−2

−1

1

−1

−1

−1.5

−1.5

−2

−2

−2.5

−2.5

−3

−3

1 dy =− dx y dy 2 *D) =y dx B)

2

−0.5

dy =x+ y dx dy C) = xy dx A)

3 x

dy =x− y dx dy D) = − xy dx

*B)

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Worksheet by Kuta Software LLC