... an equation:y(t) = αy(t).775 1 23448 12 16 1 23448 12 16 Figure 14 .1: The p opulation of bacteria. 1 234326496 12 8 1 234326496 12 8Figure 14 .2: The discrete population of ... xdudx= 0This equation is separable.P (1, u) + uQ (1, u) + xQ (1, u)dudx= 0 1 x+Q (1, u)P (1, u) + uQ (1, u)dudx= 0ln |x| + 1 u + P (1, u)/Q (1, u)du = cBy substituting ln |c| for c, ... divide it into two equations on separate domains.y 1 − y 1 = 0, y 1 (0) = 1, for x < 1 y2− y2= 1, y2 (1) = y 1 (1) , for x > 1 797• y+ 3xy+ 2y = x2• y= yyThe...