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# Sketch the direction field of the differential equation. Then use it to sketch a solution curve that passes through the given point.$y' = 1 - xy, (0,0)$

## Sketch the direction field of the differential equation $y^{\prime}=x y-x^{2}$And we have to sketch the solution curve passing through $(0,1)$Direction field and solution curves are shown below:

#### Topics

Differential Equations

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

Ohio State University

#### Topics

Differential Equations

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp