Question Number 42215 by rahul 19 last updated on 20/Aug/18
$$\mathrm{Number}\:\mathrm{of}\:\mathrm{straight}\:\mathrm{lines}\:\mathrm{which}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{{dx}}\:+\:{x}\left(\frac{{dy}}{{dx}}\right)^{\mathrm{2}} −\:{y}\:=\mathrm{0}\:{is}\:? \\ $$
Commented by rahul 19 last updated on 20/Aug/18
$$\mathrm{Hint}\:\mathrm{given}:\:\mathrm{Since}\:\mathrm{eq}.\:\mathrm{is}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{2},\:\mathrm{two} \\ $$$$\mathrm{lines}\:\mathrm{are}\:\mathrm{possible}.\: \\ $$$$\mathrm{I}\:\mathrm{cannot}\:\mathrm{understand}\:\mathrm{this}… \\ $$
Commented by rahul 19 last updated on 22/Aug/18
$$\mathrm{I}\:\mathrm{waNt}\:\mathrm{to}\:\mathrm{know}\:\mathrm{the}\:\mathrm{eq}.\:\mathrm{of}\:\mathrm{those}\:\mathrm{2}\:\mathrm{straight} \\ $$$$\mathrm{lines}\:\left(\:\mathrm{if}\:\mathrm{we}\:\mathrm{can}\:\mathrm{find}\:\mathrm{from}\:\mathrm{the}\:\mathrm{given}\right. \\ $$$$\left.\mathrm{information}\right). \\ $$
Commented by rahul 19 last updated on 27/Aug/18
$$?? \\ $$