Math

CalculusQ&A LibraryIn Problems 15–18 verify that the indicated function yexplicit solution of the given first-order differential equation. Pro-ceed as in Example 6, by considering o simply as a function and giveits domain. Then by considering o as a solution of the differentialequation, give at least one interval I of definition.30. In Exaу 3 фinterva15. (у — х)у' %—у — х+ 8; у%3Dх + 4Vx + 2is not a16. y' = 25 + y²; y= 5 tan 5xIn Problemsolution of17. y' = 2xy²; y = 1/(4 – x)%3DQuestion

Asked Jan 25, 2020

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#17

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Step 1

First find the domain of the function *y = 1 / (4 - x ^{2})*

* *

The zeros of the denominator are ** (4 - x^{2}) = 0** or

The function ** y = 1 / (4 - x^{2}), **the domain of the function is set of all real numbers excluding

Therefore, the domain of the function ** y = 1 / (4 - x^{2})** is:

Step 2

Now consider ** y = 1 / (4 - x2) **as a function of x.

Differentiation with r...

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