P. 592, lines 11 and 12: Difference between revisions
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Created page with "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 +..." |
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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> | ||
<math>\qquad = x(t) + \frac{\Delta t}{2} \left[ \left(-x^3(t) + \sin \left(t x(t) \right) \right) + \left( -\left(x(t) + (-x^3(t) + \sin(t x(t))) \Delta t \right)^3 + \sin \left( (t + \Delta t)(x(t) + (-x^3(t) + \sin(t x(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.]] | ||
