## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 473

kind of

.

**Problems**of this kind are called boundary value prob- (180) (184) c, ... Anotherkind of

**problem**can be exemplified by reference to equation (177). It may be ... A**problem**of this kind is called an eigenvalue**problem**or a Sturm-Liouville**problem**.

Page 478

The solution of the initial value

difficult

y(x) in the interval a < x < b satisfying a second-order differential equation F(x, y, ...

The solution of the initial value

**problem**for a nonlinear equation is a much moredifficult

**problem**except in those rare cases in ... The**problem**of finding a functiony(x) in the interval a < x < b satisfying a second-order differential equation F(x, y, ...

Page 485

INITIAL VALUE AND BOUNDARY VALUE

differential equations, the concern is not ... The classic case of an initial value

string.

INITIAL VALUE AND BOUNDARY VALUE

**PROBLEMS**In applications of partialdifferential equations, the concern is not ... The classic case of an initial value

**problem**arises in the discussion of the transverse oscillations of a stretchedstring.

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