can some one explain to me why is wrong: t try (-inf,-5),(5,+inf) thanks Nuno Ve

Question

can some one explain to me why is wrong:

t try (-inf,-5),(5,+inf)

thanks

Nuno

Verify that the indicated function y = phi(x) is an explicit solution of the given first-order differential equation. y' = 2xy^2: y = 1/(25 - x^2) When y = 1/(25 - x^2), y = Thus, in terms of x, 2xy^2 = Since the left and right hand sides of the differential equation are equal when 1/(25 - x^2) is substituted for y, y = 1/(25 - x^2) is a solution. Proceed as in Example 6, by considering phi simply as a function and give its domain. (Enter your answer using interval notation.)

Explanation / Answer

The domain is every real number except 5,-5.

So domain:. R - {-5,5}.

You tried well but you separated the result.

5 and -5 should be excepted from all real numbers as these values will leads to y to be infinity.

Except these values any real value can be the domain

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