The New Encyclopædia BritannicaEncyclopaedia Britannica, Incorporated, 1987 - Encyclopedias and dictionaries |
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Page 476
Ordinary and simulta- neous differential equations Equations of the first order and first degree Recent work The equations of van der Pol and Laplace. Most physical situations are too complicated to be ex- pressed simply by one variable ...
Ordinary and simulta- neous differential equations Equations of the first order and first degree Recent work The equations of van der Pol and Laplace. Most physical situations are too complicated to be ex- pressed simply by one variable ...
Page 486
... equations . Nonlinear equations of the second order may now be considered . One of the simplest nonlinear second - order differential equations has the sum of y " and k2 sin y equal to zero ( see 292 ) . It describes the motion of a ...
... equations . Nonlinear equations of the second order may now be considered . One of the simplest nonlinear second - order differential equations has the sum of y " and k2 sin y equal to zero ( see 292 ) . It describes the motion of a ...
Page 493
... equation reduces to the one - dimensional diffusion equation with κ = ( RC ) ̄ ' . On the other hand , if the emphasis is on high - frequency phenomena on a cable , the terms involving the time derivatives predominate . Equations ( 391 ) ...
... equation reduces to the one - dimensional diffusion equation with κ = ( RC ) ̄ ' . On the other hand , if the emphasis is on high - frequency phenomena on a cable , the terms involving the time derivatives predominate . Equations ( 391 ) ...
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