Question

Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable. x=y(8x2 + 1) y=0

Answer 1

Que :- Find the general solution of the following equation · Express the solution explicity as a function of the independent variable dy y (882?+1) = da Saln Given dp = y(82?+1) da dy 82²+1) da ( Separate the variable) On Integrating both sides S (0x²+i) da floge dy C j Constant where loge' arbitrary of integration logy = 89% + on ta-logo => log y = px + a +logo - logy-loge 23°+ → log e = orta = Hta

3 크 블 x2+ e = yoy= c.exb [or?+x] where ¿ constant Which is the general solution of given diff- -erential equation and the solution explicit as a function of the independent variable.