Question: Show that y = sin(tan1 x + C) is the general solution of y' = 1 y 2 /(1 + x 2 ). Then

Show that y = sin(tan−1 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 = (cos C)x+ sin C 1 + x

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