allerySolve dy/dx = 1 + y²:
Ay = tan(x + C) (using arctan integral)
By = 1/(x + C)
Cy = x + C
Dy = e^x
Answer & Solution
Correct answer: A. y = tan(x + C) (using arctan integral)
**Separable:** dy/(1 + y²) = dx → arctan y = x + C → y = tan(x + C).
Solutions blow up at x = π/2 - C (finite-time singularity).
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