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The Solution of a Certain Class of Differential Equations

Published online by Cambridge University Press:  03 November 2016

M. C. K. Tweedie
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Extract

We will consider first the second order partial differential equation

where α, β, γ, δ, ε, η are all functions of x or t only

Suppose the six coefficients are functions of x. Then since

we have

for none of the six coefficients contains t.

Type
Research Article
Information
The Mathematical Gazette , Volume 24 , Issue 258 , February 1940 , pp. 25 - 29
Copyright
Copyright © Mathematical Association 1940

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References

page no 27 note * I am indebted to Mr. R. L. Goodstein for pointing this out to me.

page no 29 note * Jeffreys, H., Operational Methods, Cambridge Mathematical Tracts, No. 23 (1927)Google Scholar.