Multiple choice

Consider the differential equation $\frac{dy}{dx} = (1+y^2)x$. The general solution with constant c is

  1. y = tan $\frac{x^2}{2}$+ tan c
  2. y = tan2 $\Big( \frac{x}{2} + c \Big)$
  3. y = tan2 $\Big( \frac{x}{2} \Big)+c$
  4. y = tan $\Big( \frac{x^2}{2} + c \Big)$
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D Correct answer
Explanation

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