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after finding the differential equation, bernoulli then solved it by what we now call separation of variables.
pärast leida diferentsiaalvõrrandi, bernoulli siis lahendada see, mida me nüüd kõne eraldamise parameetreid.
he studied these special functions as arising from the solution of differential equations derived from the hypergeometric equation .
ta uuris neid konkreetseid ülesandeid, mis tulenevad lahus diferentsiaalvõrrandid saadud hypergeometrinen võrrand.
he is chiefly known for the riccati differential equation of which he made elaborate study and gave solutions for certain special cases.
ta on peamiselt tuntud riccati diferentsiaalvõrrandi, mille ta tegi töötada uuringu ning andis lahendusi teatud erijuhtudel.
another paper by wright which shows his mathematical approach to the subject is the differential equation of the distribution of gene frequencies which he published in 1945.
teine paberile wright, mis näitab tema matemaatiline lähenemisviis, et teema on diferentsiaalvõrrandi jaotamise geenide sagedused, mida ta avaldas 1945.
although, as we have said, this differential equation is thiele's most significant contribution to actuarial science, he never published the result.
kuigi, nagu öeldud, selle diferentsiaalvõrrandi on thiele kõige olulisem osa kindlustusmatemaatiliste teaduse, ta ei avaldanud tulemuse.
certain linear partial differential equations which he came across in his work are characteristic of invariant theory and are named after him.
teatavate lineaarsete osaline diferentsiaal, mis ta oli kogu tema töö on iseloomulikud invarianttia teooria ja on tema nime.
another important area of his work is that on differential equations where he worked on the inverse sturm - liouville problem.
teine oluline valdkond tema töö on see, et diferentsiaal, kus ta töötas vastupidine sturm - liouville probleem.
... my only active encounter with partial differential equations , a subject to which i had always hoped to return but in a different vein.
... minu ainus aktiivne kohtumine osaline diferentsiaal, tingimusel et mis mul oli alati soovinud naasta, kuid eri veeni.
he discussed problems of the following kind: what conditions must be placed on the coefficients of a differential equation so that all solutions have prescribed proberties (e.g. to be regular or algebraic).
ta on arutas probleemid järgmised hüvitised: millised tingimused peavad olema pandud koefitsientide diferentsiaalvõrrandit nii, et kõik lahendused on ettenähtud proberties (nt olla regulaarne või algebraline).
after returning to the united states, where her husband was by now dean of engineering, she taught courses in the theory of functions and differential equations.
pärast naasmist ameerika Ühendriikides, kus tema abikaasa on nüüdseks dean of engineering, ta õpetas kursustel teooria funktsioonid ja diferentsiaal.