We saw that every autonomous rstorder differential equation dy/dx = f (y) is separable. Does this fact

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We saw that every autonomous ­rstorder differential equation dy/dx = f (y) is separable. Does this fact help in the solution of the initial-value problem

Dy/dx = √(1+ y2) sin2 y, y(0) = ½ ?

Discuss. Sketch, by hand, a plausible solution curve of the problem.

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