The general solution of the equation is y(x) = tan(C + sin x) With the initial condition

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The general solution of the equation


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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 (1/4π sin x) has a vertical asymptote at x = sin-1 (π/4) ≈ 0.90334. Use Euler’s method to verify this fact empirically.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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