Show that y = sin(tan1 x + C) is the general solution of y' = 1
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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
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y = (cos C)x+ sin C √1 + x²
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Thus Rewrite dy dx This yields Upon integrating both sides of this equation we f...View the full answer
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