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### EXPLORING CONCEPTS Sketching a Graph In Exercises…

01:07
University of Delaware

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Problem 48

Slope Field In Exercises 47 and $48,$ (a) use a graphing utility to graph a slope field for the differential equation, (b) use integration and the given point to find the particular solution of the differential equation, and (c) graph the particular solution and the slope field in the same viewing window.

$\frac{d y}{d x}=2 \sqrt{x},(4,12)$

$$y=\frac{4 x^{3 / 2}}{3}+\frac{4}{3}$$

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## Video Transcript

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