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

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Page 473

Another kind of

may be stated as a question: Do there exist real values of co such that the

equation (177) has nonzero solutions satisfying the boundary conditions y(0) = y(

a) — 0?

Another kind of

**problem**can be exemplified by reference to equation (177). Itmay be stated as a question: Do there exist real values of co such that the

equation (177) has nonzero solutions satisfying the boundary conditions y(0) = y(

a) — 0?

Page 478

Substitution of the initial values, the expressions for y"(a), y"'{a), and higher

derivatives at x = a (see 267) in the Taylor expansion about x = a (see 268) leads

to a series expansion for the solution of the initial value

boundary ...

Substitution of the initial values, the expressions for y"(a), y"'{a), and higher

derivatives at x = a (see 267) in the Taylor expansion about x = a (see 268) leads

to a series expansion for the solution of the initial value

**problem**. Two-pointboundary ...

Page 485

INITIAL VALUE AND BOUNDARY VALUE

differential equations, the concern is not so much with determining the general

solution of an equation as with finding the solution that satisfies some other ...

INITIAL VALUE AND BOUNDARY VALUE

**PROBLEMS**In applications of partialdifferential equations, the concern is not so much with determining the general

solution of an equation as with finding the solution that satisfies some other ...

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