Difference between revisions of "P. 592, lines 11 and 12"
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The equation should be | The equation should be | ||
| − | <math>x(t + \Delta t) \approx x(t) + \frac{\Delta t}{2} \left[ \left(-x^3(t) + \sin (t x(t)) \right) + \left( -\left(x(t) + f(x(t),t) \Delta t \right)^3 + \sin \left( (t + \Delta t)(x(t) + f(x(t),t) \Delta t) \right) \right)\right]</math> | + | <math>x(t + \Delta t) \approx x(t) + \frac{\Delta t}{2} \left[ \left(-x^3(t) + \sin \left(t x(t) \right) \right) + \left( -\left(x(t) + f(x(t),t) \Delta t \right)^3 + \sin \left( (t + \Delta t)(x(t) + f(x(t),t) \Delta t) \right) \right)\right]</math> |
[[Engineering Differential Equations: Theory and Applications, Springer 2010#Errata|Return to errata.]] | [[Engineering Differential Equations: Theory and Applications, Springer 2010#Errata|Return to errata.]] | ||
![{\displaystyle x(t+\Delta t)\approx x(t)+{\frac {\Delta t}{2}}\left[\left(-x^{3}(t)+\sin \left(tx(t)\right)\right)+\left(-\left(x(t)+f(x(t),t)\Delta t\right)^{3}+\sin \left((t+\Delta t)(x(t)+f(x(t),t)\Delta t)\right)\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/05c42334e2cec3c0850d126982f60b034093006c)
