Question

Obtain the general solution to the equation dx == +8x+1 The general solution is y(x)= ignoring lost solutions, if any.

Answer 1

dá brivce ODE is the +81+1 => de la 4 Suti - 0 This is of the form dy + Pony 28 (4) cohere Plo , 0170) = 87+1 Its general solution is given by y (Inf) - 5 013) (.F) du +c . Spranda where Inf = Integrating factor = el est de la lxl sedalal at From ② g ( 14 ) = 5 (8x + 1) () dx + c 1 / 2 = 1 (8 + 2) dx + c -> = 88+ lenkel tc Skdx = kx (doza where cis arbitrary Constant- S dx = lup (o) y = a (8x + lulaito) 2) y = 8xt & lule + cx I whis is the required general solution of o