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


question:
Tagalog sentence: Ang pagkakaroon ng isang teleskopyo na kung saan ay hindi na ginagamit para sa photography ay sa halip kapus-kapalaran dahil ang pinaka-astronomya trabaho sa panahon na kinakailangan na pasilidad.
answer:
Having a telescope which could not be used for photography was rather unfortunate since most astronomical work at that time required that facility.


question:
Tagalog sentence: Magdagdag ng mga ringtone sa telepono ko
answer:

Add ringtones to my phone