In Problems 15–18 verify that the indicated function y = $(x) is an explicit solution of the given first-order differential equation. Pro- ceed as in Example 6, by considering o simply as a function and give its domain. Then by considering o as a solution of the differential equation, give at least one interval I of definition. 15. (y – x)y' = y – x + 8; y = x + 4Vx + 2

Question

#15

In Problems 15–18 verify that the indicated function y = $(x) is an
explicit solution of the given first-order differential equation. Pro-
ceed as in Example 6, by considering o simply as a function and give
its domain. Then by considering o as a solution of the differential
equation, give at least one interval I of definition.
15. (y – x)y' = y – x + 8; y = x + 4Vx + 2
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Transcribed Image Text

In Problems 15–18 verify that the indicated function y = $(x) is an explicit solution of the given first-order differential equation. Pro- ceed as in Example 6, by considering o simply as a function and give its domain. Then by considering o as a solution of the differential equation, give at least one interval I of definition. 15. (y – x)y' = y – x + 8; y = x + 4Vx + 2

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