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Verify that the indicated function y = ?(x) is an explicit solution of the given first-order differential equation y' = 2xy^2, y = 1/(25-x2) When y= 1/(25-x2), y'= Thus, in terms of x Since the left and right hand sides of the differential equation are equal when 1/(25 -x2) is substituted for y, y = 1/(25 -x2) is a solution. Proceed as in Example 4 of Section 1.1; by considering ? simply as a function, give its domain. (Enter your answer using interval notation.)

Verify that the indicated function y = ?(x) is an explicit solution of the given first-order differential equation y' = 2xy^2, y = 1/(25-x2) When y= 1/(25-x2), y'= Thus, in terms of x Since the left and right hand sides of the differential equation are equal when 1/(25 -x2) is substituted for y, y = 1/(25 -x2) is a solution. Proceed as in Example 4 of Section 1.1; by considering ? simply as a function, give its domain. (Enter your answer using interval notation.)

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Verify that the indicated function y = ?(x) is an explicit solution of the given first-order differential equation y' = 2xy^2, y = 1/(25-x2) When y= 1/(25-x2), y'= Thus, in terms of x Since the left and right hand sides of the differential equation are equal when 1/(25 -x2) is substituted for y, y = 1/(25 -x2) is a solution. Proceed as in Example 4 of Section 1.1; by considering ? simply as a function, give its domain. (Enter your answer using interval notation.)

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