Answer: In 17 –24 determine a region of the xy-plane for

Chapter 1, Problem 18E

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QUESTION:

In Problems 17–24 determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point \(\left(x_{0}, y_{0}\right)\) in the region.

\(\frac{d y}{d x}=\sqrt{x y}\)

Text Transcription:

(x_0, y_0)

dy/dx=sqrt xy

Questions & Answers

QUESTION:

In Problems 17–24 determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point \(\left(x_{0}, y_{0}\right)\) in the region.

\(\frac{d y}{d x}=\sqrt{x y}\)

Text Transcription:

(x_0, y_0)

dy/dx=sqrt xy

ANSWER:

Step 1 of 4

In this problem we have to find the region of the in the given differential equation.

Given differential equation is 

Consider 

This is continuous at  , and  and  

 

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