Show that y = sin(tan1 x + C) is the general solution of y = 1 y2/ 1 + x2 . Then use the

Chapter 9, Problem 47

(choose chapter or problem)

Show that y = sin(tan1 x + C) is the general solution of y = 1 y2/ 1 + x2 . Then use the addition formula for the sine function to show that the general solution may be written y = (cosC)x + sin C 1 + x2 48

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