Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations

Formation of partial differential equations by elimination of arbitrary functions

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Explain the formation of p.d.e. by elimination of arbitrary functions.

FORMATION OF PARTIAL DIFFERENTIAL EQUATIONS BY ELIMINATION OF ARBITRARY FUNCTIONS

§ Explain the formation of p.d.e. by elimination of arbitrary functions.

Solution : Suppose two functions u & v are connected by the relation


§ What can you say about the order of p.d.e. got by eliminating arbitrary functions?

Solution: The elimination of one arbitrary function will result in a p.d.e. of the first order. The elimination of two arbitrary functions will result in equations of second order and so on.

Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations : Tag: : - Formation of partial differential equations by elimination of arbitrary functions

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MA3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation