- The general solution of the equation dy dx = (1 + y²) cos x is y(x) = tan(C + sin x). With the initial condition y (0) = 0 the solution y(x) = tan(sin x) is well behaved. But with y(0) = 1 the solution y(x) = tan (7 + sin x) has a ver- tical asymptote at x = sin(1/4) z 0.90334. Use Euler's method to verify this fact empirically. ) =ta

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