| 31. | See the article on numerical methods for ordinary differential equations for more background and other methods.
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| 32. | The most common modeling technique involves the use of coupled ordinary differential equations ( ODEs ).
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| 33. | However, these model can be reduced down to an ordinary differential equations using method of moments.
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| 34. | The ordinary differential equations for the cases of the gamma distributions have been given and solved.
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| 35. | Which will result in two possibly coupled ordinary differential equations, whose solutions are the orthogonal trajectories.
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| 36. | His first scientific works concerning ordinary differential equations were published in renowned mathematical journals in 1948.
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| 37. | The solution may not be unique . ( See Ordinary differential equation for other results .)
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| 38. | His textbook on ordinary differential equations became a standard graduate text on the subject at many institutions.
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| 39. | Ordinary differential equations ( ODEs ) arise in many contexts of mathematics and science ( natural ).
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| 40. | This ordinary differential equation ( ODE ) needs two initial conditions at, say, time t = 0.
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