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Numerade Educator

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Problem 14 Medium Difficulty

Sketch the direction field of the differential equation. Then use it to sketch a solution curve that passes through the given point.
$$
y^{\prime}=x+y^{2}, \quad(0,0)
$$

Answer

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

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Video Transcript

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