- 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

- 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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.5: Derivatives Of Logarithmic Functions

Problem 47E

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