Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

[EX Q]: Tagalog sentence: Sa 1898 Osgood-publish ng isang mahalagang papel sa mga solusyon ng mga kaugalian equation dy / dx = f (x, y) kasiya-siyang ang inireseta unang kondisyon y (a) = b.... Osgood ay nagpakita na kung f (x, y) ay patuloy na may umiiral na lamang ng hindi bababa sa isang solusyon...
[EX A]: In 1898 Osgood published an important paper on the solutions of the differential equation dy/dx = f(x, y) satisfying the prescribed initial conditions y(a) = b.... Osgood showed that if f(x, y) is merely continuous there exists at least one solution...

[EX Q]: Tagalog sentence: Van Vleck ay remembered sa pamamagitan ng kanyang peers bilang isang edukado at bantog na iskolar ay marami na pagyamanin ang buhay at karera ng mga taong alam sa kanya.
[EX A]: Van Vleck was remembered by his peers as a cultured and distinguished scholar who did much to enrich the lives and careers of those who knew him.

[EX Q]: Tagalog sentence: Upang "hit" na ito kailangan mo ng estado ang ang tamang halaga ng pagkatapos ng ika-3 protesta o sa 6th hulaan, alinman ang mauna.
[EX A]:
To "hit" it you must state the the correct value of after the 3rd strike or the 6th guess, whichever comes first.